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Finding the Fourth Proportional to 442,786.68, 664,374.42 and 232,375.41

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Solution

The fourth proportional to 442,786.68, 664,374.42 and 232,375.41 is: 348,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,786.68 : 664,374.42 = 232,375.41 : x
  2. Step 2: Convert to fraction form
    442,786.68/664,374.42 = 232,375.41/x
  3. Step 3: Cross multiply
    442,786.68x = 664,374.42 × 232,375.41
  4. Step 4: Simplify right side
    442,786.68x = 154,384,278,241.01
  5. Step 5: Solve for x
    x = 154,384,278,241.01/442,786.68
  6. Step 6: Final answer
    x = 348,665.14

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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.