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Finding the Fourth Proportional to 318,343.56, 477,650.38 and 149,860.20

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Solution

The fourth proportional to 318,343.56, 477,650.38 and 149,860.20 is: 224,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,343.56 : 477,650.38 = 149,860.20 : x
  2. Step 2: Convert to fraction form
    318,343.56/477,650.38 = 149,860.20/x
  3. Step 3: Cross multiply
    318,343.56x = 477,650.38 × 149,860.20
  4. Step 4: Simplify right side
    318,343.56x = 71,580,781,476.88
  5. Step 5: Solve for x
    x = 71,580,781,476.88/318,343.56
  6. Step 6: Final answer
    x = 224,853.87

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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.