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Finding the Fourth Proportional to 342,508.82, 472,757.25 and 199,296.62

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Solution

The fourth proportional to 342,508.82, 472,757.25 and 199,296.62 is: 275,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,508.82 : 472,757.25 = 199,296.62 : x
  2. Step 2: Convert to fraction form
    342,508.82/472,757.25 = 199,296.62/x
  3. Step 3: Cross multiply
    342,508.82x = 472,757.25 × 199,296.62
  4. Step 4: Simplify right side
    342,508.82x = 94,218,922,005.50
  5. Step 5: Solve for x
    x = 94,218,922,005.50/342,508.82
  6. Step 6: Final answer
    x = 275,084.66

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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.