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Finding the Fourth Proportional to 551,386.80, 827,080.20 and 196,801.20

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Solution

The fourth proportional to 551,386.80, 827,080.20 and 196,801.20 is: 295,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,386.80 : 827,080.20 = 196,801.20 : x
  2. Step 2: Convert to fraction form
    551,386.80/827,080.20 = 196,801.20/x
  3. Step 3: Cross multiply
    551,386.80x = 827,080.20 × 196,801.20
  4. Step 4: Simplify right side
    551,386.80x = 162,770,375,856.24
  5. Step 5: Solve for x
    x = 162,770,375,856.24/551,386.80
  6. Step 6: Final answer
    x = 295,201.80

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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.