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Finding the Fourth Proportional to 292,492.49, 403,249.31 and 232,262.51

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Solution

The fourth proportional to 292,492.49, 403,249.31 and 232,262.51 is: 320,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,492.49 : 403,249.31 = 232,262.51 : x
  2. Step 2: Convert to fraction form
    292,492.49/403,249.31 = 232,262.51/x
  3. Step 3: Cross multiply
    292,492.49x = 403,249.31 × 232,262.51
  4. Step 4: Simplify right side
    292,492.49x = 93,659,696,743.18
  5. Step 5: Solve for x
    x = 93,659,696,743.18/292,492.49
  6. Step 6: Final answer
    x = 320,212.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.