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Finding the Fourth Proportional to 307,566.64, 424,616.34 and 200,082.88

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Solution

The fourth proportional to 307,566.64, 424,616.34 and 200,082.88 is: 276,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,566.64 : 424,616.34 = 200,082.88 : x
  2. Step 2: Convert to fraction form
    307,566.64/424,616.34 = 200,082.88/x
  3. Step 3: Cross multiply
    307,566.64x = 424,616.34 × 200,082.88
  4. Step 4: Simplify right side
    307,566.64x = 84,958,460,202.26
  5. Step 5: Solve for x
    x = 84,958,460,202.26/307,566.64
  6. Step 6: Final answer
    x = 276,227.81

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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.