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Finding the Fourth Proportional to 423,737.92, 584,768.45 and 232,755.31

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Solution

The fourth proportional to 423,737.92, 584,768.45 and 232,755.31 is: 321,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,737.92 : 584,768.45 = 232,755.31 : x
  2. Step 2: Convert to fraction form
    423,737.92/584,768.45 = 232,755.31/x
  3. Step 3: Cross multiply
    423,737.92x = 584,768.45 × 232,755.31
  4. Step 4: Simplify right side
    423,737.92x = 136,107,960,977.94
  5. Step 5: Solve for x
    x = 136,107,960,977.94/423,737.92
  6. Step 6: Final answer
    x = 321,207.89

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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.