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Finding the Fourth Proportional to 404,472.20, 558,282.66 and 234,761

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Solution

The fourth proportional to 404,472.20, 558,282.66 and 234,761 is: 324,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,472.20 : 558,282.66 = 234,761 : x
  2. Step 2: Convert to fraction form
    404,472.20/558,282.66 = 234,761/x
  3. Step 3: Cross multiply
    404,472.20x = 558,282.66 × 234,761
  4. Step 4: Simplify right side
    404,472.20x = 131,062,995,544.26
  5. Step 5: Solve for x
    x = 131,062,995,544.26/404,472.20
  6. Step 6: Final answer
    x = 324,034.62

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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.