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Finding the Fourth Proportional to 442,873.40, 664,310.10 and 123,024.65

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Solution

The fourth proportional to 442,873.40, 664,310.10 and 123,024.65 is: 184,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,873.40 : 664,310.10 = 123,024.65 : x
  2. Step 2: Convert to fraction form
    442,873.40/664,310.10 = 123,024.65/x
  3. Step 3: Cross multiply
    442,873.40x = 664,310.10 × 123,024.65
  4. Step 4: Simplify right side
    442,873.40x = 81,726,517,543.97
  5. Step 5: Solve for x
    x = 81,726,517,543.97/442,873.40
  6. Step 6: Final answer
    x = 184,536.98

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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.