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Finding the Fourth Proportional to 337,139.24, 465,266.34 and 193,899.44

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Solution

The fourth proportional to 337,139.24, 465,266.34 and 193,899.44 is: 267,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,139.24 : 465,266.34 = 193,899.44 : x
  2. Step 2: Convert to fraction form
    337,139.24/465,266.34 = 193,899.44/x
  3. Step 3: Cross multiply
    337,139.24x = 465,266.34 × 193,899.44
  4. Step 4: Simplify right side
    337,139.24x = 90,214,882,776.85
  5. Step 5: Solve for x
    x = 90,214,882,776.85/337,139.24
  6. Step 6: Final answer
    x = 267,589.39

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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.