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Finding the Fourth Proportional to 422,055.48, 582,438.26 and 231,086.64

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Solution

The fourth proportional to 422,055.48, 582,438.26 and 231,086.64 is: 318,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,055.48 : 582,438.26 = 231,086.64 : x
  2. Step 2: Convert to fraction form
    422,055.48/582,438.26 = 231,086.64/x
  3. Step 3: Cross multiply
    422,055.48x = 582,438.26 × 231,086.64
  4. Step 4: Simplify right side
    422,055.48x = 134,593,700,510.85
  5. Step 5: Solve for x
    x = 134,593,700,510.85/422,055.48
  6. Step 6: Final answer
    x = 318,900.49

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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.