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Finding the Fourth Proportional to 422,291.70, 582,772.02 and 241,000.02

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Solution

The fourth proportional to 422,291.70, 582,772.02 and 241,000.02 is: 332,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,291.70 : 582,772.02 = 241,000.02 : x
  2. Step 2: Convert to fraction form
    422,291.70/582,772.02 = 241,000.02/x
  3. Step 3: Cross multiply
    422,291.70x = 582,772.02 × 241,000.02
  4. Step 4: Simplify right side
    422,291.70x = 140,448,068,475.44
  5. Step 5: Solve for x
    x = 140,448,068,475.44/422,291.70
  6. Step 6: Final answer
    x = 332,585.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.