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Finding the Fourth Proportional to 272,008.20, 408,012.30 and 261,640.20

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Solution

The fourth proportional to 272,008.20, 408,012.30 and 261,640.20 is: 392,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,008.20 : 408,012.30 = 261,640.20 : x
  2. Step 2: Convert to fraction form
    272,008.20/408,012.30 = 261,640.20/x
  3. Step 3: Cross multiply
    272,008.20x = 408,012.30 × 261,640.20
  4. Step 4: Simplify right side
    272,008.20x = 106,752,419,774.46
  5. Step 5: Solve for x
    x = 106,752,419,774.46/272,008.20
  6. Step 6: Final answer
    x = 392,460.30

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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.