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Finding the Fourth Proportional to 332,217.40, 497,732.10 and 202,149.40

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Solution

The fourth proportional to 332,217.40, 497,732.10 and 202,149.40 is: 302,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,217.40 : 497,732.10 = 202,149.40 : x
  2. Step 2: Convert to fraction form
    332,217.40/497,732.10 = 202,149.40/x
  3. Step 3: Cross multiply
    332,217.40x = 497,732.10 × 202,149.40
  4. Step 4: Simplify right side
    332,217.40x = 100,616,245,375.74
  5. Step 5: Solve for x
    x = 100,616,245,375.74/332,217.40
  6. Step 6: Final answer
    x = 302,862.66

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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.