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Finding the Fourth Proportional to 408,873.26, 564,245.12 and 227,581.30

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Solution

The fourth proportional to 408,873.26, 564,245.12 and 227,581.30 is: 314,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,873.26 : 564,245.12 = 227,581.30 : x
  2. Step 2: Convert to fraction form
    408,873.26/564,245.12 = 227,581.30/x
  3. Step 3: Cross multiply
    408,873.26x = 564,245.12 × 227,581.30
  4. Step 4: Simplify right side
    408,873.26x = 128,411,635,379.74
  5. Step 5: Solve for x
    x = 128,411,635,379.74/408,873.26
  6. Step 6: Final answer
    x = 314,062.20

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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.