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Finding the Fourth Proportional to 442,876.10, 664,314.15 and 162,356.90

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Solution

The fourth proportional to 442,876.10, 664,314.15 and 162,356.90 is: 243,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,876.10 : 664,314.15 = 162,356.90 : x
  2. Step 2: Convert to fraction form
    442,876.10/664,314.15 = 162,356.90/x
  3. Step 3: Cross multiply
    442,876.10x = 664,314.15 × 162,356.90
  4. Step 4: Simplify right side
    442,876.10x = 107,855,986,020.14
  5. Step 5: Solve for x
    x = 107,855,986,020.14/442,876.10
  6. Step 6: Final answer
    x = 243,535.35

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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.