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Finding the Fourth Proportional to 442,710.96, 664,518.42 and 324,029.76

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Solution

The fourth proportional to 442,710.96, 664,518.42 and 324,029.76 is: 486,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,710.96 : 664,518.42 = 324,029.76 : x
  2. Step 2: Convert to fraction form
    442,710.96/664,518.42 = 324,029.76/x
  3. Step 3: Cross multiply
    442,710.96x = 664,518.42 × 324,029.76
  4. Step 4: Simplify right side
    442,710.96x = 215,323,744,148.18
  5. Step 5: Solve for x
    x = 215,323,744,148.18/442,710.96
  6. Step 6: Final answer
    x = 486,375.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.