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Finding the Fourth Proportional to 274,830.80, 412,375.80 and 204,846.80

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Solution

The fourth proportional to 274,830.80, 412,375.80 and 204,846.80 is: 307,366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,830.80 : 412,375.80 = 204,846.80 : x
  2. Step 2: Convert to fraction form
    274,830.80/412,375.80 = 204,846.80/x
  3. Step 3: Cross multiply
    274,830.80x = 412,375.80 × 204,846.80
  4. Step 4: Simplify right side
    274,830.80x = 84,473,863,027.44
  5. Step 5: Solve for x
    x = 84,473,863,027.44/274,830.80
  6. Step 6: Final answer
    x = 307,366.80

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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.