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Finding the Fourth Proportional to 263,214.80, 394,498.20 and 178,974.80

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Solution

The fourth proportional to 263,214.80, 394,498.20 and 178,974.80 is: 268,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,214.80 : 394,498.20 = 178,974.80 : x
  2. Step 2: Convert to fraction form
    263,214.80/394,498.20 = 178,974.80/x
  3. Step 3: Cross multiply
    263,214.80x = 394,498.20 × 178,974.80
  4. Step 4: Simplify right side
    263,214.80x = 70,605,236,445.36
  5. Step 5: Solve for x
    x = 70,605,236,445.36/263,214.80
  6. Step 6: Final answer
    x = 268,241.89

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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.