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Finding the Fourth Proportional to 273,844.80, 409,960.80 and 204,033.60

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Solution

The fourth proportional to 273,844.80, 409,960.80 and 204,033.60 is: 305,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,844.80 : 409,960.80 = 204,033.60 : x
  2. Step 2: Convert to fraction form
    273,844.80/409,960.80 = 204,033.60/x
  3. Step 3: Cross multiply
    273,844.80x = 409,960.80 × 204,033.60
  4. Step 4: Simplify right side
    273,844.80x = 83,645,777,882.88
  5. Step 5: Solve for x
    x = 83,645,777,882.88/273,844.80
  6. Step 6: Final answer
    x = 305,449.58

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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.