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Finding the Fourth Proportional to 339,597, 468,659.25 and 188,694

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Solution

The fourth proportional to 339,597, 468,659.25 and 188,694 is: 260,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,597 : 468,659.25 = 188,694 : x
  2. Step 2: Convert to fraction form
    339,597/468,659.25 = 188,694/x
  3. Step 3: Cross multiply
    339,597x = 468,659.25 × 188,694
  4. Step 4: Simplify right side
    339,597x = 88,433,188,519.50
  5. Step 5: Solve for x
    x = 88,433,188,519.50/339,597
  6. Step 6: Final answer
    x = 260,406.27

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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.