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Finding the Fourth Proportional to 339,876.06, 468,976.41 and 196,649.46

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Solution

The fourth proportional to 339,876.06, 468,976.41 and 196,649.46 is: 271,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,876.06 : 468,976.41 = 196,649.46 : x
  2. Step 2: Convert to fraction form
    339,876.06/468,976.41 = 196,649.46/x
  3. Step 3: Cross multiply
    339,876.06x = 468,976.41 × 196,649.46
  4. Step 4: Simplify right side
    339,876.06x = 92,223,957,779.24
  5. Step 5: Solve for x
    x = 92,223,957,779.24/339,876.06
  6. Step 6: Final answer
    x = 271,345.85

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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.