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Finding the Fourth Proportional to 273,363.88, 409,713.38 and 193,424.88

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Solution

The fourth proportional to 273,363.88, 409,713.38 and 193,424.88 is: 289,902.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,363.88 : 409,713.38 = 193,424.88 : x
  2. Step 2: Convert to fraction form
    273,363.88/409,713.38 = 193,424.88/x
  3. Step 3: Cross multiply
    273,363.88x = 409,713.38 × 193,424.88
  4. Step 4: Simplify right side
    273,363.88x = 79,248,761,360.89
  5. Step 5: Solve for x
    x = 79,248,761,360.89/273,363.88
  6. Step 6: Final answer
    x = 289,902.09

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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.