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Finding the Fourth Proportional to 361,846.80, 542,770.20 and 151,462.80

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Solution

The fourth proportional to 361,846.80, 542,770.20 and 151,462.80 is: 227,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,846.80 : 542,770.20 = 151,462.80 : x
  2. Step 2: Convert to fraction form
    361,846.80/542,770.20 = 151,462.80/x
  3. Step 3: Cross multiply
    361,846.80x = 542,770.20 × 151,462.80
  4. Step 4: Simplify right side
    361,846.80x = 82,209,494,248.56
  5. Step 5: Solve for x
    x = 82,209,494,248.56/361,846.80
  6. Step 6: Final answer
    x = 227,194.20

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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.