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Finding the Fourth Proportional to 577,976.91, 866,750.30 and 198,791.20

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Solution

The fourth proportional to 577,976.91, 866,750.30 and 198,791.20 is: 298,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,976.91 : 866,750.30 = 198,791.20 : x
  2. Step 2: Convert to fraction form
    577,976.91/866,750.30 = 198,791.20/x
  3. Step 3: Cross multiply
    577,976.91x = 866,750.30 × 198,791.20
  4. Step 4: Simplify right side
    577,976.91x = 172,302,332,237.36
  5. Step 5: Solve for x
    x = 172,302,332,237.36/577,976.91
  6. Step 6: Final answer
    x = 298,112.83

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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.