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Finding the Fourth Proportional to 422,169.70, 582,594.48 and 231,183.13

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Solution

The fourth proportional to 422,169.70, 582,594.48 and 231,183.13 is: 319,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,169.70 : 582,594.48 = 231,183.13 : x
  2. Step 2: Convert to fraction form
    422,169.70/582,594.48 = 231,183.13/x
  3. Step 3: Cross multiply
    422,169.70x = 582,594.48 × 231,183.13
  4. Step 4: Simplify right side
    422,169.70x = 134,686,015,407.12
  5. Step 5: Solve for x
    x = 134,686,015,407.12/422,169.70
  6. Step 6: Final answer
    x = 319,032.88

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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.