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Finding the Fourth Proportional to 278,092.09, 413,560.49 and 269,234.74

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Solution

The fourth proportional to 278,092.09, 413,560.49 and 269,234.74 is: 400,388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,092.09 : 413,560.49 = 269,234.74 : x
  2. Step 2: Convert to fraction form
    278,092.09/413,560.49 = 269,234.74/x
  3. Step 3: Cross multiply
    278,092.09x = 413,560.49 × 269,234.74
  4. Step 4: Simplify right side
    278,092.09x = 111,344,850,999.42
  5. Step 5: Solve for x
    x = 111,344,850,999.42/278,092.09
  6. Step 6: Final answer
    x = 400,388.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.