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Finding the Fourth Proportional to 318,222.60, 477,323.10 and 81,567.60

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Solution

The fourth proportional to 318,222.60, 477,323.10 and 81,567.60 is: 122,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,222.60 : 477,323.10 = 81,567.60 : x
  2. Step 2: Convert to fraction form
    318,222.60/477,323.10 = 81,567.60/x
  3. Step 3: Cross multiply
    318,222.60x = 477,323.10 × 81,567.60
  4. Step 4: Simplify right side
    318,222.60x = 38,934,099,691.56
  5. Step 5: Solve for x
    x = 38,934,099,691.56/318,222.60
  6. Step 6: Final answer
    x = 122,348.63

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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.