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Finding the Fourth Proportional to 323,919.60, 446,909.97 and 187,906.42

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Solution

The fourth proportional to 323,919.60, 446,909.97 and 187,906.42 is: 259,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,919.60 : 446,909.97 = 187,906.42 : x
  2. Step 2: Convert to fraction form
    323,919.60/446,909.97 = 187,906.42/x
  3. Step 3: Cross multiply
    323,919.60x = 446,909.97 × 187,906.42
  4. Step 4: Simplify right side
    323,919.60x = 83,977,252,525.01
  5. Step 5: Solve for x
    x = 83,977,252,525.01/323,919.60
  6. Step 6: Final answer
    x = 259,253.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.