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Finding the Fourth Proportional to 331,684.82, 457,790.39 and 231,024.50

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Solution

The fourth proportional to 331,684.82, 457,790.39 and 231,024.50 is: 318,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,684.82 : 457,790.39 = 231,024.50 : x
  2. Step 2: Convert to fraction form
    331,684.82/457,790.39 = 231,024.50/x
  3. Step 3: Cross multiply
    331,684.82x = 457,790.39 × 231,024.50
  4. Step 4: Simplify right side
    331,684.82x = 105,760,795,954.56
  5. Step 5: Solve for x
    x = 105,760,795,954.56/331,684.82
  6. Step 6: Final answer
    x = 318,859.32

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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.