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Finding the Fourth Proportional to 361,456.92, 542,371.28 and 172,131.98

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Solution

The fourth proportional to 361,456.92, 542,371.28 and 172,131.98 is: 258,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,456.92 : 542,371.28 = 172,131.98 : x
  2. Step 2: Convert to fraction form
    361,456.92/542,371.28 = 172,131.98/x
  3. Step 3: Cross multiply
    361,456.92x = 542,371.28 × 172,131.98
  4. Step 4: Simplify right side
    361,456.92x = 93,359,438,749.02
  5. Step 5: Solve for x
    x = 93,359,438,749.02/361,456.92
  6. Step 6: Final answer
    x = 258,286.49

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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.