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Finding the Fourth Proportional to 502,474.38, 753,549.60 and 165,434.79

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Solution

The fourth proportional to 502,474.38, 753,549.60 and 165,434.79 is: 248,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,474.38 : 753,549.60 = 165,434.79 : x
  2. Step 2: Convert to fraction form
    502,474.38/753,549.60 = 165,434.79/x
  3. Step 3: Cross multiply
    502,474.38x = 753,549.60 × 165,434.79
  4. Step 4: Simplify right side
    502,474.38x = 124,663,315,235.66
  5. Step 5: Solve for x
    x = 124,663,315,235.66/502,474.38
  6. Step 6: Final answer
    x = 248,098.85

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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.