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Finding the Fourth Proportional to 442,896.20, 664,344.30 and 307,593.80

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Solution

The fourth proportional to 442,896.20, 664,344.30 and 307,593.80 is: 461,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,896.20 : 664,344.30 = 307,593.80 : x
  2. Step 2: Convert to fraction form
    442,896.20/664,344.30 = 307,593.80/x
  3. Step 3: Cross multiply
    442,896.20x = 664,344.30 × 307,593.80
  4. Step 4: Simplify right side
    442,896.20x = 204,348,187,745.34
  5. Step 5: Solve for x
    x = 204,348,187,745.34/442,896.20
  6. Step 6: Final answer
    x = 461,390.70

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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.