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Finding the Fourth Proportional to 303,930.80, 455,896.20 and 82,314.80

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Solution

The fourth proportional to 303,930.80, 455,896.20 and 82,314.80 is: 123,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,930.80 : 455,896.20 = 82,314.80 : x
  2. Step 2: Convert to fraction form
    303,930.80/455,896.20 = 82,314.80/x
  3. Step 3: Cross multiply
    303,930.80x = 455,896.20 × 82,314.80
  4. Step 4: Simplify right side
    303,930.80x = 37,527,004,523.76
  5. Step 5: Solve for x
    x = 37,527,004,523.76/303,930.80
  6. Step 6: Final answer
    x = 123,472.20

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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.