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Finding the Fourth Proportional to 422,299.53, 582,773.49 and 231,319.80

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Solution

The fourth proportional to 422,299.53, 582,773.49 and 231,319.80 is: 319,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,299.53 : 582,773.49 = 231,319.80 : x
  2. Step 2: Convert to fraction form
    422,299.53/582,773.49 = 231,319.80/x
  3. Step 3: Cross multiply
    422,299.53x = 582,773.49 × 231,319.80
  4. Step 4: Simplify right side
    422,299.53x = 134,807,047,152.10
  5. Step 5: Solve for x
    x = 134,807,047,152.10/422,299.53
  6. Step 6: Final answer
    x = 319,221.40

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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.