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Finding the Fourth Proportional to 504,452.38, 696,149.67 and 278,105.98

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Solution

The fourth proportional to 504,452.38, 696,149.67 and 278,105.98 is: 383,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,452.38 : 696,149.67 = 278,105.98 : x
  2. Step 2: Convert to fraction form
    504,452.38/696,149.67 = 278,105.98/x
  3. Step 3: Cross multiply
    504,452.38x = 696,149.67 × 278,105.98
  4. Step 4: Simplify right side
    504,452.38x = 193,603,386,202.03
  5. Step 5: Solve for x
    x = 193,603,386,202.03/504,452.38
  6. Step 6: Final answer
    x = 383,789.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.