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Finding the Fourth Proportional to 273,909.80, 410,832.30 and 74,217.80

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Solution

The fourth proportional to 273,909.80, 410,832.30 and 74,217.80 is: 111,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,909.80 : 410,832.30 = 74,217.80 : x
  2. Step 2: Convert to fraction form
    273,909.80/410,832.30 = 74,217.80/x
  3. Step 3: Cross multiply
    273,909.80x = 410,832.30 × 74,217.80
  4. Step 4: Simplify right side
    273,909.80x = 30,491,069,474.94
  5. Step 5: Solve for x
    x = 30,491,069,474.94/273,909.80
  6. Step 6: Final answer
    x = 111,317.92

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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.