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Finding the Fourth Proportional to 303,843.20, 455,764.80 and 82,227.20

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Solution

The fourth proportional to 303,843.20, 455,764.80 and 82,227.20 is: 123,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,843.20 : 455,764.80 = 82,227.20 : x
  2. Step 2: Convert to fraction form
    303,843.20/455,764.80 = 82,227.20/x
  3. Step 3: Cross multiply
    303,843.20x = 455,764.80 × 82,227.20
  4. Step 4: Simplify right side
    303,843.20x = 37,476,263,362.56
  5. Step 5: Solve for x
    x = 37,476,263,362.56/303,843.20
  6. Step 6: Final answer
    x = 123,340.80

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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.