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Finding the Fourth Proportional to 408,301.97, 563,472.35 and 227,035.20

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Solution

The fourth proportional to 408,301.97, 563,472.35 and 227,035.20 is: 313,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,301.97 : 563,472.35 = 227,035.20 : x
  2. Step 2: Convert to fraction form
    408,301.97/563,472.35 = 227,035.20/x
  3. Step 3: Cross multiply
    408,301.97x = 563,472.35 × 227,035.20
  4. Step 4: Simplify right side
    408,301.97x = 127,928,059,505.95
  5. Step 5: Solve for x
    x = 127,928,059,505.95/408,301.97
  6. Step 6: Final answer
    x = 313,317.28

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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.