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Finding the Fourth Proportional to 422,163.91, 582,574.83 and 240,872.55

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Solution

The fourth proportional to 422,163.91, 582,574.83 and 240,872.55 is: 332,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,163.91 : 582,574.83 = 240,872.55 : x
  2. Step 2: Convert to fraction form
    422,163.91/582,574.83 = 240,872.55/x
  3. Step 3: Cross multiply
    422,163.91x = 582,574.83 × 240,872.55
  4. Step 4: Simplify right side
    422,163.91x = 140,326,284,867.92
  5. Step 5: Solve for x
    x = 140,326,284,867.92/422,163.91
  6. Step 6: Final answer
    x = 332,397.63

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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.