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Finding the Fourth Proportional to 268,932.80, 403,399.20 and 194,283.20

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Solution

The fourth proportional to 268,932.80, 403,399.20 and 194,283.20 is: 291,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,932.80 : 403,399.20 = 194,283.20 : x
  2. Step 2: Convert to fraction form
    268,932.80/403,399.20 = 194,283.20/x
  3. Step 3: Cross multiply
    268,932.80x = 403,399.20 × 194,283.20
  4. Step 4: Simplify right side
    268,932.80x = 78,373,687,453.44
  5. Step 5: Solve for x
    x = 78,373,687,453.44/268,932.80
  6. Step 6: Final answer
    x = 291,424.80

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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.