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Finding the Fourth Proportional to 269,198.20, 403,797.30 and 174,719.80

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Solution

The fourth proportional to 269,198.20, 403,797.30 and 174,719.80 is: 262,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,198.20 : 403,797.30 = 174,719.80 : x
  2. Step 2: Convert to fraction form
    269,198.20/403,797.30 = 174,719.80/x
  3. Step 3: Cross multiply
    269,198.20x = 403,797.30 × 174,719.80
  4. Step 4: Simplify right side
    269,198.20x = 70,551,383,496.54
  5. Step 5: Solve for x
    x = 70,551,383,496.54/269,198.20
  6. Step 6: Final answer
    x = 262,079.70

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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.