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Finding the Fourth Proportional to 422,013.23, 582,378.28 and 231,026.63

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Solution

The fourth proportional to 422,013.23, 582,378.28 and 231,026.63 is: 318,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,013.23 : 582,378.28 = 231,026.63 : x
  2. Step 2: Convert to fraction form
    422,013.23/582,378.28 = 231,026.63/x
  3. Step 3: Cross multiply
    422,013.23x = 582,378.28 × 231,026.63
  4. Step 4: Simplify right side
    422,013.23x = 134,544,887,924.14
  5. Step 5: Solve for x
    x = 134,544,887,924.14/422,013.23
  6. Step 6: Final answer
    x = 318,816.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.