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Finding the Fourth Proportional to 344,082.44, 474,871.92 and 200,877.68

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Solution

The fourth proportional to 344,082.44, 474,871.92 and 200,877.68 is: 277,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,082.44 : 474,871.92 = 200,877.68 : x
  2. Step 2: Convert to fraction form
    344,082.44/474,871.92 = 200,877.68/x
  3. Step 3: Cross multiply
    344,082.44x = 474,871.92 × 200,877.68
  4. Step 4: Simplify right side
    344,082.44x = 95,391,169,586.75
  5. Step 5: Solve for x
    x = 95,391,169,586.75/344,082.44
  6. Step 6: Final answer
    x = 277,233.47

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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.