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Finding the Fourth Proportional to 408,882.30, 564,245.02 and 227,589.58

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Solution

The fourth proportional to 408,882.30, 564,245.02 and 227,589.58 is: 314,066.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,882.30 : 564,245.02 = 227,589.58 : x
  2. Step 2: Convert to fraction form
    408,882.30/564,245.02 = 227,589.58/x
  3. Step 3: Cross multiply
    408,882.30x = 564,245.02 × 227,589.58
  4. Step 4: Simplify right side
    408,882.30x = 128,416,283,159.72
  5. Step 5: Solve for x
    x = 128,416,283,159.72/408,882.30
  6. Step 6: Final answer
    x = 314,066.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.