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Finding the Fourth Proportional to 408,872.13, 564,243.56 and 227,580.17

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Solution

The fourth proportional to 408,872.13, 564,243.56 and 227,580.17 is: 314,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,872.13 : 564,243.56 = 227,580.17 : x
  2. Step 2: Convert to fraction form
    408,872.13/564,243.56 = 227,580.17/x
  3. Step 3: Cross multiply
    408,872.13x = 564,243.56 × 227,580.17
  4. Step 4: Simplify right side
    408,872.13x = 128,410,647,285.77
  5. Step 5: Solve for x
    x = 128,410,647,285.77/408,872.13
  6. Step 6: Final answer
    x = 314,060.65

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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.