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Finding the Fourth Proportional to 422,148.15, 582,563.48 and 231,159.87

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Solution

The fourth proportional to 422,148.15, 582,563.48 and 231,159.87 is: 319,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,148.15 : 582,563.48 = 231,159.87 : x
  2. Step 2: Convert to fraction form
    422,148.15/582,563.48 = 231,159.87/x
  3. Step 3: Cross multiply
    422,148.15x = 582,563.48 × 231,159.87
  4. Step 4: Simplify right side
    422,148.15x = 134,665,297,147.75
  5. Step 5: Solve for x
    x = 134,665,297,147.75/422,148.15
  6. Step 6: Final answer
    x = 319,000.09

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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.