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Finding the Fourth Proportional to 442,932.40, 664,398.60 and 411,439.60

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Solution

The fourth proportional to 442,932.40, 664,398.60 and 411,439.60 is: 617,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,932.40 : 664,398.60 = 411,439.60 : x
  2. Step 2: Convert to fraction form
    442,932.40/664,398.60 = 411,439.60/x
  3. Step 3: Cross multiply
    442,932.40x = 664,398.60 × 411,439.60
  4. Step 4: Simplify right side
    442,932.40x = 273,359,894,224.56
  5. Step 5: Solve for x
    x = 273,359,894,224.56/442,932.40
  6. Step 6: Final answer
    x = 617,159.40

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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.