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Finding the Fourth Proportional to 408,593.64, 563,849.46 and 227,306.28

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Solution

The fourth proportional to 408,593.64, 563,849.46 and 227,306.28 is: 313,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,593.64 : 563,849.46 = 227,306.28 : x
  2. Step 2: Convert to fraction form
    408,593.64/563,849.46 = 227,306.28/x
  3. Step 3: Cross multiply
    408,593.64x = 563,849.46 × 227,306.28
  4. Step 4: Simplify right side
    408,593.64x = 128,166,523,232.61
  5. Step 5: Solve for x
    x = 128,166,523,232.61/408,593.64
  6. Step 6: Final answer
    x = 313,677.23

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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.