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Finding the Fourth Proportional to 442,912.60, 664,046.94 and 176,593.24

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Solution

The fourth proportional to 442,912.60, 664,046.94 and 176,593.24 is: 264,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,912.60 : 664,046.94 = 176,593.24 : x
  2. Step 2: Convert to fraction form
    442,912.60/664,046.94 = 176,593.24/x
  3. Step 3: Cross multiply
    442,912.60x = 664,046.94 × 176,593.24
  4. Step 4: Simplify right side
    442,912.60x = 117,266,200,646.69
  5. Step 5: Solve for x
    x = 117,266,200,646.69/442,912.60
  6. Step 6: Final answer
    x = 264,761.49

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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.