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Finding the Fourth Proportional to 273,237.40, 409,418.70 and 179,633.80

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Solution

The fourth proportional to 273,237.40, 409,418.70 and 179,633.80 is: 269,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,237.40 : 409,418.70 = 179,633.80 : x
  2. Step 2: Convert to fraction form
    273,237.40/409,418.70 = 179,633.80/x
  3. Step 3: Cross multiply
    273,237.40x = 409,418.70 × 179,633.80
  4. Step 4: Simplify right side
    273,237.40x = 73,545,436,872.06
  5. Step 5: Solve for x
    x = 73,545,436,872.06/273,237.40
  6. Step 6: Final answer
    x = 269,163.14

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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.