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Finding the Fourth Proportional to 422,317.53, 582,798.33 and 231,337.80

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Solution

The fourth proportional to 422,317.53, 582,798.33 and 231,337.80 is: 319,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,317.53 : 582,798.33 = 231,337.80 : x
  2. Step 2: Convert to fraction form
    422,317.53/582,798.33 = 231,337.80/x
  3. Step 3: Cross multiply
    422,317.53x = 582,798.33 × 231,337.80
  4. Step 4: Simplify right side
    422,317.53x = 134,823,283,505.87
  5. Step 5: Solve for x
    x = 134,823,283,505.87/422,317.53
  6. Step 6: Final answer
    x = 319,246.24

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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.