The Collaborative International Dictionary of English v.0.48:

Advantageously \Ad`van*ta"geous*ly\, adv.
   Profitably; with advantage.
   [1913 Webster]

WordNet (r) 3.0 (2006):

advantageously
    adv 1: in a manner affording benefit or advantage; "she married
           well"; "The children were settled advantageously in
           Seattle" [syn: well, advantageously] [ant: badly,
           disadvantageously]

Moby Thesaurus II by Grady Ward, 1.0:

43 Moby Thesaurus words for "advantageously":
   advisably, amelioratively, appropriately, at a profit,
   beneficially, congruously, conveniently, decently, desirably,
   effectively, effectually, efficiently, expediently, favorably,
   feasibly, fitly, fittingly, for money, functionally, gainfully,
   handily, helpfully, helpingly, in the black, lucratively,
   melioratively, opportunely, practically, profitably, properly,
   remuneratively, rightly, seasonably, serviceably, sortably,
   suitably, to advantage, to good effect, to good use, to profit,
   to the good, usefully, with advantage