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Finding the Fourth Proportional to 421,965.76, 582,327.56 and 230,979.31

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Solution

The fourth proportional to 421,965.76, 582,327.56 and 230,979.31 is: 318,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,965.76 : 582,327.56 = 230,979.31 : x
  2. Step 2: Convert to fraction form
    421,965.76/582,327.56 = 230,979.31/x
  3. Step 3: Cross multiply
    421,965.76x = 582,327.56 × 230,979.31
  4. Step 4: Simplify right side
    421,965.76x = 134,505,618,002.78
  5. Step 5: Solve for x
    x = 134,505,618,002.78/421,965.76
  6. Step 6: Final answer
    x = 318,759.56

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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.