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Finding the Fourth Proportional to 409,108.26, 564,569.28 and 239,375.22

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Solution

The fourth proportional to 409,108.26, 564,569.28 and 239,375.22 is: 330,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,108.26 : 564,569.28 = 239,375.22 : x
  2. Step 2: Convert to fraction form
    409,108.26/564,569.28 = 239,375.22/x
  3. Step 3: Cross multiply
    409,108.26x = 564,569.28 × 239,375.22
  4. Step 4: Simplify right side
    409,108.26x = 135,143,895,605.24
  5. Step 5: Solve for x
    x = 135,143,895,605.24/409,108.26
  6. Step 6: Final answer
    x = 330,337.73

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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.