THESAURUS
rightfully
appropriately, as is proper, as is right, by right, by rights, condignly, correctly, deservedly, disinterestedly, dispassionately, duly, equally, equitably, evenly, fair, fairly, fittingly, impartially, impersonally, in all conscience, in reason, inequity, injustice, justifiably, justifiedly, justly, meetly, properly, right, rightly, upon even terms, warrantably, warrantedly, without distinction