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Finding the Fourth Proportional to 408,796.92, 564,166.17 and 227,508.24

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Solution

The fourth proportional to 408,796.92, 564,166.17 and 227,508.24 is: 313,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,796.92 : 564,166.17 = 227,508.24 : x
  2. Step 2: Convert to fraction form
    408,796.92/564,166.17 = 227,508.24/x
  3. Step 3: Cross multiply
    408,796.92x = 564,166.17 × 227,508.24
  4. Step 4: Simplify right side
    408,796.92x = 128,352,452,404.24
  5. Step 5: Solve for x
    x = 128,352,452,404.24/408,796.92
  6. Step 6: Final answer
    x = 313,976.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.