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Finding the Fourth Proportional to 442,854.60, 664,346.70 and 232,508.40

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Solution

The fourth proportional to 442,854.60, 664,346.70 and 232,508.40 is: 348,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,854.60 : 664,346.70 = 232,508.40 : x
  2. Step 2: Convert to fraction form
    442,854.60/664,346.70 = 232,508.40/x
  3. Step 3: Cross multiply
    442,854.60x = 664,346.70 × 232,508.40
  4. Step 4: Simplify right side
    442,854.60x = 154,466,188,262.28
  5. Step 5: Solve for x
    x = 154,466,188,262.28/442,854.60
  6. Step 6: Final answer
    x = 348,796.62

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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.