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Finding the Fourth Proportional to 652,655.25, 978,982.92 and 231,947.73

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Solution

The fourth proportional to 652,655.25, 978,982.92 and 231,947.73 is: 347,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,655.25 : 978,982.92 = 231,947.73 : x
  2. Step 2: Convert to fraction form
    652,655.25/978,982.92 = 231,947.73/x
  3. Step 3: Cross multiply
    652,655.25x = 978,982.92 × 231,947.73
  4. Step 4: Simplify right side
    652,655.25x = 227,072,866,002.77
  5. Step 5: Solve for x
    x = 227,072,866,002.77/652,655.25
  6. Step 6: Final answer
    x = 347,921.61

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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.