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Finding the Fourth Proportional to 543,584.76, 814,761.92 and 276,781.69

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Solution

The fourth proportional to 543,584.76, 814,761.92 and 276,781.69 is: 414,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,584.76 : 814,761.92 = 276,781.69 : x
  2. Step 2: Convert to fraction form
    543,584.76/814,761.92 = 276,781.69/x
  3. Step 3: Cross multiply
    543,584.76x = 814,761.92 × 276,781.69
  4. Step 4: Simplify right side
    543,584.76x = 225,511,182,875.65
  5. Step 5: Solve for x
    x = 225,511,182,875.65/543,584.76
  6. Step 6: Final answer
    x = 414,859.28

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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.