JapanMS - Open-To-All Test Server; May 16th ~ 30th

1.182 is the critical multiplier for Paladins. 0.84 is the attack speed.

Oh. Well then I'd love to see your math, because I'm pretty confident in saying "you're wrong."

Again, my math:
Paladin
(1.5 + 1.41) / 2 = 1.455 <- average critical multiplier
1.455 * .57 (critical rate) + 1.0 (normal damage) * .43 = 1.25935

Shadow Partner gets multiplied by multipliers, and ends up doing 200% damage when you have Advanced Combo (2x), Enrage (1.6x), and Chance Attack (1.25) = 0.5 * 2 * 1.6 * 1.25.

I don't understand your point; you're not telling me anything I don't know.
Multiplication is multiplication.

Unless there's something magical about Shadow Partner that I don't understand, it adds 50% of your total damage; that makes it a 1.5 multiplier.
A Hero's total damage would already include ACA, Enrage, and Chance Attack, so you would just multiply the total damage by 1.5.
Again, a Paladin's charges would act the same exact way except the multiplier is 1.495 (or .5% less than that of Shadow Partner).

That said, I don't even see where you included Shadow Partner in your calculations for a Shadow Hero.
I see:
"Shadower Hero: 210% (Intrepid Slash) * 3 (# of hits) * 3 (I have no idea what this is) * 2 (ACA) * 1.6 (Enrage) * 1.25 (Chance Attack) * 1.0175 (critical multiplier) / 0.84 (speed) = 9157.5%"