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Finding the Fourth Proportional to 307,582.38, 424,198.62 and 200,113.20

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Solution

The fourth proportional to 307,582.38, 424,198.62 and 200,113.20 is: 275,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,582.38 : 424,198.62 = 200,113.20 : x
  2. Step 2: Convert to fraction form
    307,582.38/424,198.62 = 200,113.20/x
  3. Step 3: Cross multiply
    307,582.38x = 424,198.62 × 200,113.20
  4. Step 4: Simplify right side
    307,582.38x = 84,887,743,283.78
  5. Step 5: Solve for x
    x = 84,887,743,283.78/307,582.38
  6. Step 6: Final answer
    x = 275,983.77

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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.