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Finding the Fourth Proportional to 422,466.48, 582,994.56 and 231,475.68

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Solution

The fourth proportional to 422,466.48, 582,994.56 and 231,475.68 is: 319,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,466.48 : 582,994.56 = 231,475.68 : x
  2. Step 2: Convert to fraction form
    422,466.48/582,994.56 = 231,475.68/x
  3. Step 3: Cross multiply
    422,466.48x = 582,994.56 × 231,475.68
  4. Step 4: Simplify right side
    422,466.48x = 134,949,062,212.30
  5. Step 5: Solve for x
    x = 134,949,062,212.30/422,466.48
  6. Step 6: Final answer
    x = 319,431.41

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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.