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Finding the Fourth Proportional to 273,229.40, 409,406.70 and 179,625.80

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Solution

The fourth proportional to 273,229.40, 409,406.70 and 179,625.80 is: 269,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,229.40 : 409,406.70 = 179,625.80 : x
  2. Step 2: Convert to fraction form
    273,229.40/409,406.70 = 179,625.80/x
  3. Step 3: Cross multiply
    273,229.40x = 409,406.70 × 179,625.80
  4. Step 4: Simplify right side
    273,229.40x = 73,540,006,012.86
  5. Step 5: Solve for x
    x = 73,540,006,012.86/273,229.40
  6. Step 6: Final answer
    x = 269,151.15

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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.