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Finding the Fourth Proportional to 422,324.90, 582,817.78 and 241,033.20

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Solution

The fourth proportional to 422,324.90, 582,817.78 and 241,033.20 is: 332,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,324.90 : 582,817.78 = 241,033.20 : x
  2. Step 2: Convert to fraction form
    422,324.90/582,817.78 = 241,033.20/x
  3. Step 3: Cross multiply
    422,324.90x = 582,817.78 × 241,033.20
  4. Step 4: Simplify right side
    422,324.90x = 140,478,431,968.12
  5. Step 5: Solve for x
    x = 140,478,431,968.12/422,324.90
  6. Step 6: Final answer
    x = 332,631.18

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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.