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Finding the Fourth Proportional to 437,531.60, 656,297.40 and 410,959.55

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Solution

The fourth proportional to 437,531.60, 656,297.40 and 410,959.55 is: 616,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,531.60 : 656,297.40 = 410,959.55 : x
  2. Step 2: Convert to fraction form
    437,531.60/656,297.40 = 410,959.55/x
  3. Step 3: Cross multiply
    437,531.60x = 656,297.40 × 410,959.55
  4. Step 4: Simplify right side
    437,531.60x = 269,711,684,170.17
  5. Step 5: Solve for x
    x = 269,711,684,170.17/437,531.60
  6. Step 6: Final answer
    x = 616,439.33

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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.