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Finding the Fourth Proportional to 273,226.40, 409,839.60 and 271,476.80

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Solution

The fourth proportional to 273,226.40, 409,839.60 and 271,476.80 is: 407,215.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,226.40 : 409,839.60 = 271,476.80 : x
  2. Step 2: Convert to fraction form
    273,226.40/409,839.60 = 271,476.80/x
  3. Step 3: Cross multiply
    273,226.40x = 409,839.60 × 271,476.80
  4. Step 4: Simplify right side
    273,226.40x = 111,261,943,121.28
  5. Step 5: Solve for x
    x = 111,261,943,121.28/273,226.40
  6. Step 6: Final answer
    x = 407,215.20

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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.