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Finding the Fourth Proportional to 543,781.80, 814,688.55 and 465,049.80

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Solution

The fourth proportional to 543,781.80, 814,688.55 and 465,049.80 is: 696,733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,781.80 : 814,688.55 = 465,049.80 : x
  2. Step 2: Convert to fraction form
    543,781.80/814,688.55 = 465,049.80/x
  3. Step 3: Cross multiply
    543,781.80x = 814,688.55 × 465,049.80
  4. Step 4: Simplify right side
    543,781.80x = 378,870,747,239.79
  5. Step 5: Solve for x
    x = 378,870,747,239.79/543,781.80
  6. Step 6: Final answer
    x = 696,733.04

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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.