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Finding the Fourth Proportional to 435,761.78, 649,262.85 and 411,287.42

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Solution

The fourth proportional to 435,761.78, 649,262.85 and 411,287.42 is: 612,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,761.78 : 649,262.85 = 411,287.42 : x
  2. Step 2: Convert to fraction form
    435,761.78/649,262.85 = 411,287.42/x
  3. Step 3: Cross multiply
    435,761.78x = 649,262.85 × 411,287.42
  4. Step 4: Simplify right side
    435,761.78x = 267,033,639,232.03
  5. Step 5: Solve for x
    x = 267,033,639,232.03/435,761.78
  6. Step 6: Final answer
    x = 612,797.30

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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.