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Finding the Fourth Proportional to 273,227.40, 409,403.70 and 179,623.80

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Solution

The fourth proportional to 273,227.40, 409,403.70 and 179,623.80 is: 269,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,227.40 : 409,403.70 = 179,623.80 : x
  2. Step 2: Convert to fraction form
    273,227.40/409,403.70 = 179,623.80/x
  3. Step 3: Cross multiply
    273,227.40x = 409,403.70 × 179,623.80
  4. Step 4: Simplify right side
    273,227.40x = 73,538,648,328.06
  5. Step 5: Solve for x
    x = 73,538,648,328.06/273,227.40
  6. Step 6: Final answer
    x = 269,148.15

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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.