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Finding the Fourth Proportional to 442,822.60, 664,233.90 and 413,079.40

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Solution

The fourth proportional to 442,822.60, 664,233.90 and 413,079.40 is: 619,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,822.60 : 664,233.90 = 413,079.40 : x
  2. Step 2: Convert to fraction form
    442,822.60/664,233.90 = 413,079.40/x
  3. Step 3: Cross multiply
    442,822.60x = 664,233.90 × 413,079.40
  4. Step 4: Simplify right side
    442,822.60x = 274,381,340,871.66
  5. Step 5: Solve for x
    x = 274,381,340,871.66/442,822.60
  6. Step 6: Final answer
    x = 619,619.10

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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.