The best explanation of how the American, French, and Haitian Revolutions are related is:
Debt from supporting the American Revolution led King Louis XVI to raise taxes at the Estates-General. The Third Estate objected to new taxes and wrote the Declaration of the Rights of Man and of the Citizen. The declaration inspired a revolt of the enslaved population in Haiti.
This response accurately captures the influences and interconnections between the events, highlighting how financial issues from one revolution led to political changes in another, which further inspired revolutionary actions in a third context.