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Finding the Fourth Proportional to 263,716.80, 395,769.60 and 174,940.80

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Solution

The fourth proportional to 263,716.80, 395,769.60 and 174,940.80 is: 262,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,716.80 : 395,769.60 = 174,940.80 : x
  2. Step 2: Convert to fraction form
    263,716.80/395,769.60 = 174,940.80/x
  3. Step 3: Cross multiply
    263,716.80x = 395,769.60 × 174,940.80
  4. Step 4: Simplify right side
    263,716.80x = 69,236,250,439.68
  5. Step 5: Solve for x
    x = 69,236,250,439.68/263,716.80
  6. Step 6: Final answer
    x = 262,540.16

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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.