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Finding the Fourth Proportional to 311,770.40, 467,793.30 and 151,757.60

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Solution

The fourth proportional to 311,770.40, 467,793.30 and 151,757.60 is: 227,703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,770.40 : 467,793.30 = 151,757.60 : x
  2. Step 2: Convert to fraction form
    311,770.40/467,793.30 = 151,757.60/x
  3. Step 3: Cross multiply
    311,770.40x = 467,793.30 × 151,757.60
  4. Step 4: Simplify right side
    311,770.40x = 70,991,188,504.08
  5. Step 5: Solve for x
    x = 70,991,188,504.08/311,770.40
  6. Step 6: Final answer
    x = 227,703.43

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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.