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Finding the Fourth Proportional to 350,307, 483,424.20 and 199,404

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Solution

The fourth proportional to 350,307, 483,424.20 and 199,404 is: 275,177.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,307 : 483,424.20 = 199,404 : x
  2. Step 2: Convert to fraction form
    350,307/483,424.20 = 199,404/x
  3. Step 3: Cross multiply
    350,307x = 483,424.20 × 199,404
  4. Step 4: Simplify right side
    350,307x = 96,396,719,176.80
  5. Step 5: Solve for x
    x = 96,396,719,176.80/350,307
  6. Step 6: Final answer
    x = 275,177.83

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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.