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Finding the Fourth Proportional to 502,305.71, 753,508.32 and 160,663.30

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Solution

The fourth proportional to 502,305.71, 753,508.32 and 160,663.30 is: 241,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,305.71 : 753,508.32 = 160,663.30 : x
  2. Step 2: Convert to fraction form
    502,305.71/753,508.32 = 160,663.30/x
  3. Step 3: Cross multiply
    502,305.71x = 753,508.32 × 160,663.30
  4. Step 4: Simplify right side
    502,305.71x = 121,061,131,686.13
  5. Step 5: Solve for x
    x = 121,061,131,686.13/502,305.71
  6. Step 6: Final answer
    x = 241,010.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.