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Finding the Fourth Proportional to 252,112.80, 378,169.20 and 224,556.60

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Solution

The fourth proportional to 252,112.80, 378,169.20 and 224,556.60 is: 336,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,112.80 : 378,169.20 = 224,556.60 : x
  2. Step 2: Convert to fraction form
    252,112.80/378,169.20 = 224,556.60/x
  3. Step 3: Cross multiply
    252,112.80x = 378,169.20 × 224,556.60
  4. Step 4: Simplify right side
    252,112.80x = 84,920,389,776.72
  5. Step 5: Solve for x
    x = 84,920,389,776.72/252,112.80
  6. Step 6: Final answer
    x = 336,834.90

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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.