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Finding the Fourth Proportional to 422,183.76, 582,593.49 and 231,198.18

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Solution

The fourth proportional to 422,183.76, 582,593.49 and 231,198.18 is: 319,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,183.76 : 582,593.49 = 231,198.18 : x
  2. Step 2: Convert to fraction form
    422,183.76/582,593.49 = 231,198.18/x
  3. Step 3: Cross multiply
    422,183.76x = 582,593.49 × 231,198.18
  4. Step 4: Simplify right side
    422,183.76x = 134,694,554,567.85
  5. Step 5: Solve for x
    x = 134,694,554,567.85/422,183.76
  6. Step 6: Final answer
    x = 319,042.48

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1.5x scale

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.