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Finding the Fourth Proportional to 421,983.28, 582,338.50 and 231,014.44

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Solution

The fourth proportional to 421,983.28, 582,338.50 and 231,014.44 is: 318,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,983.28 : 582,338.50 = 231,014.44 : x
  2. Step 2: Convert to fraction form
    421,983.28/582,338.50 = 231,014.44/x
  3. Step 3: Cross multiply
    421,983.28x = 582,338.50 × 231,014.44
  4. Step 4: Simplify right side
    421,983.28x = 134,528,602,467.94
  5. Step 5: Solve for x
    x = 134,528,602,467.94/421,983.28
  6. Step 6: Final answer
    x = 318,800.79

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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.