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Finding the Fourth Proportional to 422,149.62, 582,544.76 and 231,126.06

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Solution

The fourth proportional to 422,149.62, 582,544.76 and 231,126.06 is: 318,942.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,149.62 : 582,544.76 = 231,126.06 : x
  2. Step 2: Convert to fraction form
    422,149.62/582,544.76 = 231,126.06/x
  3. Step 3: Cross multiply
    422,149.62x = 582,544.76 × 231,126.06
  4. Step 4: Simplify right side
    422,149.62x = 134,641,275,152.45
  5. Step 5: Solve for x
    x = 134,641,275,152.45/422,149.62
  6. Step 6: Final answer
    x = 318,942.07

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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.