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Finding the Fourth Proportional to 311,072.60, 466,508.46 and 100,660.52

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Solution

The fourth proportional to 311,072.60, 466,508.46 and 100,660.52 is: 150,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,072.60 : 466,508.46 = 100,660.52 : x
  2. Step 2: Convert to fraction form
    311,072.60/466,508.46 = 100,660.52/x
  3. Step 3: Cross multiply
    311,072.60x = 466,508.46 × 100,660.52
  4. Step 4: Simplify right side
    311,072.60x = 46,958,984,168.00
  5. Step 5: Solve for x
    x = 46,958,984,168.00/311,072.60
  6. Step 6: Final answer
    x = 150,958.28

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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.