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Finding the Fourth Proportional to 317,708.26, 438,535.80 and 204,531

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Solution

The fourth proportional to 317,708.26, 438,535.80 and 204,531 is: 282,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,708.26 : 438,535.80 = 204,531 : x
  2. Step 2: Convert to fraction form
    317,708.26/438,535.80 = 204,531/x
  3. Step 3: Cross multiply
    317,708.26x = 438,535.80 × 204,531
  4. Step 4: Simplify right side
    317,708.26x = 89,694,165,709.80
  5. Step 5: Solve for x
    x = 89,694,165,709.80/317,708.26
  6. Step 6: Final answer
    x = 282,316.13

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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.