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Finding the Fourth Proportional to 311,908.49, 467,537.11 and 226,312.55

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Solution

The fourth proportional to 311,908.49, 467,537.11 and 226,312.55 is: 339,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,908.49 : 467,537.11 = 226,312.55 : x
  2. Step 2: Convert to fraction form
    311,908.49/467,537.11 = 226,312.55/x
  3. Step 3: Cross multiply
    311,908.49x = 467,537.11 × 226,312.55
  4. Step 4: Simplify right side
    311,908.49x = 105,809,515,583.73
  5. Step 5: Solve for x
    x = 105,809,515,583.73/311,908.49
  6. Step 6: Final answer
    x = 339,232.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.