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Finding the Fourth Proportional to 410,694.80, 616,042.20 and 367,149.20

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Solution

The fourth proportional to 410,694.80, 616,042.20 and 367,149.20 is: 550,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,694.80 : 616,042.20 = 367,149.20 : x
  2. Step 2: Convert to fraction form
    410,694.80/616,042.20 = 367,149.20/x
  3. Step 3: Cross multiply
    410,694.80x = 616,042.20 × 367,149.20
  4. Step 4: Simplify right side
    410,694.80x = 226,179,400,896.24
  5. Step 5: Solve for x
    x = 226,179,400,896.24/410,694.80
  6. Step 6: Final answer
    x = 550,723.80

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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.