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Finding the Fourth Proportional to 408,782.59, 564,146.48 and 227,493.97

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Solution

The fourth proportional to 408,782.59, 564,146.48 and 227,493.97 is: 313,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,782.59 : 564,146.48 = 227,493.97 : x
  2. Step 2: Convert to fraction form
    408,782.59/564,146.48 = 227,493.97/x
  3. Step 3: Cross multiply
    408,782.59x = 564,146.48 × 227,493.97
  4. Step 4: Simplify right side
    408,782.59x = 128,339,921,555.09
  5. Step 5: Solve for x
    x = 128,339,921,555.09/408,782.59
  6. Step 6: Final answer
    x = 313,956.43

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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.