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Finding the Fourth Proportional to 413,565.70, 620,348.55 and 133,082.95

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Solution

The fourth proportional to 413,565.70, 620,348.55 and 133,082.95 is: 199,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,565.70 : 620,348.55 = 133,082.95 : x
  2. Step 2: Convert to fraction form
    413,565.70/620,348.55 = 133,082.95/x
  3. Step 3: Cross multiply
    413,565.70x = 620,348.55 × 133,082.95
  4. Step 4: Simplify right side
    413,565.70x = 82,557,815,062.22
  5. Step 5: Solve for x
    x = 82,557,815,062.22/413,565.70
  6. Step 6: Final answer
    x = 199,624.43

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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.