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Finding the Fourth Proportional to 551,814.80, 827,722.20 and 197,229.20

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Solution

The fourth proportional to 551,814.80, 827,722.20 and 197,229.20 is: 295,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,814.80 : 827,722.20 = 197,229.20 : x
  2. Step 2: Convert to fraction form
    551,814.80/827,722.20 = 197,229.20/x
  3. Step 3: Cross multiply
    551,814.80x = 827,722.20 × 197,229.20
  4. Step 4: Simplify right side
    551,814.80x = 163,250,987,328.24
  5. Step 5: Solve for x
    x = 163,250,987,328.24/551,814.80
  6. Step 6: Final answer
    x = 295,843.80

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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.