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Finding the Fourth Proportional to 465,974.80, 699,480.60 and 256,022.80

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Solution

The fourth proportional to 465,974.80, 699,480.60 and 256,022.80 is: 384,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,974.80 : 699,480.60 = 256,022.80 : x
  2. Step 2: Convert to fraction form
    465,974.80/699,480.60 = 256,022.80/x
  3. Step 3: Cross multiply
    465,974.80x = 699,480.60 × 256,022.80
  4. Step 4: Simplify right side
    465,974.80x = 179,082,981,757.68
  5. Step 5: Solve for x
    x = 179,082,981,757.68/465,974.80
  6. Step 6: Final answer
    x = 384,319.03

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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.