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Finding the Fourth Proportional to 410,781.38, 616,249.82 and 189,165.38

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Solution

The fourth proportional to 410,781.38, 616,249.82 and 189,165.38 is: 283,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,781.38 : 616,249.82 = 189,165.38 : x
  2. Step 2: Convert to fraction form
    410,781.38/616,249.82 = 189,165.38/x
  3. Step 3: Cross multiply
    410,781.38x = 616,249.82 × 189,165.38
  4. Step 4: Simplify right side
    410,781.38x = 116,573,128,766.90
  5. Step 5: Solve for x
    x = 116,573,128,766.90/410,781.38
  6. Step 6: Final answer
    x = 283,783.87

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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.