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Finding the Fourth Proportional to 408,882.98, 564,258.57 and 227,591.06

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Solution

The fourth proportional to 408,882.98, 564,258.57 and 227,591.06 is: 314,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,882.98 : 564,258.57 = 227,591.06 : x
  2. Step 2: Convert to fraction form
    408,882.98/564,258.57 = 227,591.06/x
  3. Step 3: Cross multiply
    408,882.98x = 564,258.57 × 227,591.06
  4. Step 4: Simplify right side
    408,882.98x = 128,420,206,060.38
  5. Step 5: Solve for x
    x = 128,420,206,060.38/408,882.98
  6. Step 6: Final answer
    x = 314,075.69

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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.