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Finding the Fourth Proportional to 502,502.73, 753,592.04 and 165,463.24

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Solution

The fourth proportional to 502,502.73, 753,592.04 and 165,463.24 is: 248,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,502.73 : 753,592.04 = 165,463.24 : x
  2. Step 2: Convert to fraction form
    502,502.73/753,592.04 = 165,463.24/x
  3. Step 3: Cross multiply
    502,502.73x = 753,592.04 × 165,463.24
  4. Step 4: Simplify right side
    502,502.73x = 124,691,780,576.61
  5. Step 5: Solve for x
    x = 124,691,780,576.61/502,502.73
  6. Step 6: Final answer
    x = 248,141.50

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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.