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Finding the Fourth Proportional to 551,709.40, 827,564.10 and 236,198.20

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Solution

The fourth proportional to 551,709.40, 827,564.10 and 236,198.20 is: 354,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,709.40 : 827,564.10 = 236,198.20 : x
  2. Step 2: Convert to fraction form
    551,709.40/827,564.10 = 236,198.20/x
  3. Step 3: Cross multiply
    551,709.40x = 827,564.10 × 236,198.20
  4. Step 4: Simplify right side
    551,709.40x = 195,469,150,804.62
  5. Step 5: Solve for x
    x = 195,469,150,804.62/551,709.40
  6. Step 6: Final answer
    x = 354,297.30

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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.