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Finding the Fourth Proportional to 307,566.14, 424,615.65 and 200,082.38

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Solution

The fourth proportional to 307,566.14, 424,615.65 and 200,082.38 is: 276,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,566.14 : 424,615.65 = 200,082.38 : x
  2. Step 2: Convert to fraction form
    307,566.14/424,615.65 = 200,082.38/x
  3. Step 3: Cross multiply
    307,566.14x = 424,615.65 × 200,082.38
  4. Step 4: Simplify right side
    307,566.14x = 84,958,109,837.25
  5. Step 5: Solve for x
    x = 84,958,109,837.25/307,566.14
  6. Step 6: Final answer
    x = 276,227.12

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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.