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Finding the Fourth Proportional to 437,531.70, 656,297.55 and 408,007.20

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Solution

The fourth proportional to 437,531.70, 656,297.55 and 408,007.20 is: 612,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,531.70 : 656,297.55 = 408,007.20 : x
  2. Step 2: Convert to fraction form
    437,531.70/656,297.55 = 408,007.20/x
  3. Step 3: Cross multiply
    437,531.70x = 656,297.55 × 408,007.20
  4. Step 4: Simplify right side
    437,531.70x = 267,774,125,742.36
  5. Step 5: Solve for x
    x = 267,774,125,742.36/437,531.70
  6. Step 6: Final answer
    x = 612,010.80

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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.