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Finding the Fourth Proportional to 652,276.48, 978,511.68 and 231,517.12

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Solution

The fourth proportional to 652,276.48, 978,511.68 and 231,517.12 is: 347,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,276.48 : 978,511.68 = 231,517.12 : x
  2. Step 2: Convert to fraction form
    652,276.48/978,511.68 = 231,517.12/x
  3. Step 3: Cross multiply
    652,276.48x = 978,511.68 × 231,517.12
  4. Step 4: Simplify right side
    652,276.48x = 226,542,206,039.96
  5. Step 5: Solve for x
    x = 226,542,206,039.96/652,276.48
  6. Step 6: Final answer
    x = 347,310.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.