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Finding the Fourth Proportional to 269,400.41, 404,085.96 and 82,411.91

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Solution

The fourth proportional to 269,400.41, 404,085.96 and 82,411.91 is: 123,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,400.41 : 404,085.96 = 82,411.91 : x
  2. Step 2: Convert to fraction form
    269,400.41/404,085.96 = 82,411.91/x
  3. Step 3: Cross multiply
    269,400.41x = 404,085.96 × 82,411.91
  4. Step 4: Simplify right side
    269,400.41x = 33,301,493,747.35
  5. Step 5: Solve for x
    x = 33,301,493,747.35/269,400.41
  6. Step 6: Final answer
    x = 123,613.38

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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.