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Finding the Fourth Proportional to 424,132.28, 585,287.70 and 233,144.30

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Solution

The fourth proportional to 424,132.28, 585,287.70 and 233,144.30 is: 321,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,132.28 : 585,287.70 = 233,144.30 : x
  2. Step 2: Convert to fraction form
    424,132.28/585,287.70 = 233,144.30/x
  3. Step 3: Cross multiply
    424,132.28x = 585,287.70 × 233,144.30
  4. Step 4: Simplify right side
    424,132.28x = 136,456,491,115.11
  5. Step 5: Solve for x
    x = 136,456,491,115.11/424,132.28
  6. Step 6: Final answer
    x = 321,730.97

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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.