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Finding the Fourth Proportional to 741,951.57, 1,023,893.22 and 419,654.73

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Solution

The fourth proportional to 741,951.57, 1,023,893.22 and 419,654.73 is: 579,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,951.57 : 1,023,893.22 = 419,654.73 : x
  2. Step 2: Convert to fraction form
    741,951.57/1,023,893.22 = 419,654.73/x
  3. Step 3: Cross multiply
    741,951.57x = 1,023,893.22 × 419,654.73
  4. Step 4: Simplify right side
    741,951.57x = 429,681,632,787.93
  5. Step 5: Solve for x
    x = 429,681,632,787.93/741,951.57
  6. Step 6: Final answer
    x = 579,123.56

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