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Finding the Fourth Proportional to 547,847.75, 821,771.62 and 148,488.53

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Solution

The fourth proportional to 547,847.75, 821,771.62 and 148,488.53 is: 222,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,847.75 : 821,771.62 = 148,488.53 : x
  2. Step 2: Convert to fraction form
    547,847.75/821,771.62 = 148,488.53/x
  3. Step 3: Cross multiply
    547,847.75x = 821,771.62 × 148,488.53
  4. Step 4: Simplify right side
    547,847.75x = 122,023,655,369.44
  5. Step 5: Solve for x
    x = 122,023,655,369.44/547,847.75
  6. Step 6: Final answer
    x = 222,732.78

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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.