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Finding the Fourth Proportional to 311,206.40, 466,874.40 and 177,977.60

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Solution

The fourth proportional to 311,206.40, 466,874.40 and 177,977.60 is: 267,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,206.40 : 466,874.40 = 177,977.60 : x
  2. Step 2: Convert to fraction form
    311,206.40/466,874.40 = 177,977.60/x
  3. Step 3: Cross multiply
    311,206.40x = 466,874.40 × 177,977.60
  4. Step 4: Simplify right side
    311,206.40x = 83,093,185,213.44
  5. Step 5: Solve for x
    x = 83,093,185,213.44/311,206.40
  6. Step 6: Final answer
    x = 267,003.46

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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.