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Finding the Fourth Proportional to 652,404.98, 978,372.67 and 225,824.90

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Solution

The fourth proportional to 652,404.98, 978,372.67 and 225,824.90 is: 338,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,404.98 : 978,372.67 = 225,824.90 : x
  2. Step 2: Convert to fraction form
    652,404.98/978,372.67 = 225,824.90/x
  3. Step 3: Cross multiply
    652,404.98x = 978,372.67 × 225,824.90
  4. Step 4: Simplify right side
    652,404.98x = 220,940,910,365.48
  5. Step 5: Solve for x
    x = 220,940,910,365.48/652,404.98
  6. Step 6: Final answer
    x = 338,656.08

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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.