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Finding the Fourth Proportional to 322,851.42, 445,563.99 and 195,519.42

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Solution

The fourth proportional to 322,851.42, 445,563.99 and 195,519.42 is: 269,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,851.42 : 445,563.99 = 195,519.42 : x
  2. Step 2: Convert to fraction form
    322,851.42/445,563.99 = 195,519.42/x
  3. Step 3: Cross multiply
    322,851.42x = 445,563.99 × 195,519.42
  4. Step 4: Simplify right side
    322,851.42x = 87,116,412,897.69
  5. Step 5: Solve for x
    x = 87,116,412,897.69/322,851.42
  6. Step 6: Final answer
    x = 269,834.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.