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Finding the Fourth Proportional to 551,351.32, 827,351.97 and 231,559.30

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Solution

The fourth proportional to 551,351.32, 827,351.97 and 231,559.30 is: 347,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,351.32 : 827,351.97 = 231,559.30 : x
  2. Step 2: Convert to fraction form
    551,351.32/827,351.97 = 231,559.30/x
  3. Step 3: Cross multiply
    551,351.32x = 827,351.97 × 231,559.30
  4. Step 4: Simplify right side
    551,351.32x = 191,581,043,026.82
  5. Step 5: Solve for x
    x = 191,581,043,026.82/551,351.32
  6. Step 6: Final answer
    x = 347,475.44

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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.