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Finding the Fourth Proportional to 551,410.80, 827,116.20 and 196,825.20

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Solution

The fourth proportional to 551,410.80, 827,116.20 and 196,825.20 is: 295,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,410.80 : 827,116.20 = 196,825.20 : x
  2. Step 2: Convert to fraction form
    551,410.80/827,116.20 = 196,825.20/x
  3. Step 3: Cross multiply
    551,410.80x = 827,116.20 × 196,825.20
  4. Step 4: Simplify right side
    551,410.80x = 162,797,311,488.24
  5. Step 5: Solve for x
    x = 162,797,311,488.24/551,410.80
  6. Step 6: Final answer
    x = 295,237.80

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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.