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Finding the Fourth Proportional to 502,420.92, 753,481.50 and 165,399.48

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Solution

The fourth proportional to 502,420.92, 753,481.50 and 165,399.48 is: 248,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,420.92 : 753,481.50 = 165,399.48 : x
  2. Step 2: Convert to fraction form
    502,420.92/753,481.50 = 165,399.48/x
  3. Step 3: Cross multiply
    502,420.92x = 753,481.50 × 165,399.48
  4. Step 4: Simplify right side
    502,420.92x = 124,625,448,289.62
  5. Step 5: Solve for x
    x = 124,625,448,289.62/502,420.92
  6. Step 6: Final answer
    x = 248,049.88

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