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Finding the Fourth Proportional to 360,769.68, 497,791.38 and 199,594.62

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Solution

The fourth proportional to 360,769.68, 497,791.38 and 199,594.62 is: 275,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,769.68 : 497,791.38 = 199,594.62 : x
  2. Step 2: Convert to fraction form
    360,769.68/497,791.38 = 199,594.62/x
  3. Step 3: Cross multiply
    360,769.68x = 497,791.38 × 199,594.62
  4. Step 4: Simplify right side
    360,769.68x = 99,356,481,330.38
  5. Step 5: Solve for x
    x = 99,356,481,330.38/360,769.68
  6. Step 6: Final answer
    x = 275,401.42

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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.