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Finding the Fourth Proportional to 274,338.70, 412,492.20 and 231,036.10

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Solution

The fourth proportional to 274,338.70, 412,492.20 and 231,036.10 is: 347,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,338.70 : 412,492.20 = 231,036.10 : x
  2. Step 2: Convert to fraction form
    274,338.70/412,492.20 = 231,036.10/x
  3. Step 3: Cross multiply
    274,338.70x = 412,492.20 × 231,036.10
  4. Step 4: Simplify right side
    274,338.70x = 95,300,589,168.42
  5. Step 5: Solve for x
    x = 95,300,589,168.42/274,338.70
  6. Step 6: Final answer
    x = 347,382.96

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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.