  In this paper we consider the prescribed Gauduchon scalar curvature problem
on almost Hermitian manifolds. By deducing the expression of the Gauduchon
scalar curvature under the conformal variation, the problem is reduced to solve
a semi-linear partial differential equation with exponential nonlinearity.
Using super and sub-solution method, we show that the existence of the solution
to this semi-linear equation depends on the sign of a constant associated to
Gauduchon degree. When the sign is negative, we give both necessary and
sufficient conditions that a prescribed function is the Gauduchon scalar
curvature of a conformal Hermitian metric. Besides, this paper recovers Chern
Yamabe problem, prescribed Chern Yamabe problem and Bismut Yamabe problem.
