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Finding the Fourth Proportional to 408,882.71, 564,258.06 and 227,590.76

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Solution

The fourth proportional to 408,882.71, 564,258.06 and 227,590.76 is: 314,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,882.71 : 564,258.06 = 227,590.76 : x
  2. Step 2: Convert to fraction form
    408,882.71/564,258.06 = 227,590.76/x
  3. Step 3: Cross multiply
    408,882.71x = 564,258.06 × 227,590.76
  4. Step 4: Simplify right side
    408,882.71x = 128,419,917,890.24
  5. Step 5: Solve for x
    x = 128,419,917,890.24/408,882.71
  6. Step 6: Final answer
    x = 314,075.20

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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.