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Finding the Fourth Proportional to 361,892.88, 543,101.76 and 204,428.88

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Solution

The fourth proportional to 361,892.88, 543,101.76 and 204,428.88 is: 306,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,892.88 : 543,101.76 = 204,428.88 : x
  2. Step 2: Convert to fraction form
    361,892.88/543,101.76 = 204,428.88/x
  3. Step 3: Cross multiply
    361,892.88x = 543,101.76 × 204,428.88
  4. Step 4: Simplify right side
    361,892.88x = 111,025,684,522.83
  5. Step 5: Solve for x
    x = 111,025,684,522.83/361,892.88
  6. Step 6: Final answer
    x = 306,791.57

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Why These Related Problems?

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