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Finding the Fourth Proportional to 442,856.10, 664,284.15 and 440,231.70

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Solution

The fourth proportional to 442,856.10, 664,284.15 and 440,231.70 is: 660,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,856.10 : 664,284.15 = 440,231.70 : x
  2. Step 2: Convert to fraction form
    442,856.10/664,284.15 = 440,231.70/x
  3. Step 3: Cross multiply
    442,856.10x = 664,284.15 × 440,231.70
  4. Step 4: Simplify right side
    442,856.10x = 292,438,940,637.56
  5. Step 5: Solve for x
    x = 292,438,940,637.56/442,856.10
  6. Step 6: Final answer
    x = 660,347.55

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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.