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Finding the Fourth Proportional to 412,227.28, 568,872.38 and 228,477.57

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Solution

The fourth proportional to 412,227.28, 568,872.38 and 228,477.57 is: 315,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,227.28 : 568,872.38 = 228,477.57 : x
  2. Step 2: Convert to fraction form
    412,227.28/568,872.38 = 228,477.57/x
  3. Step 3: Cross multiply
    412,227.28x = 568,872.38 × 228,477.57
  4. Step 4: Simplify right side
    412,227.28x = 129,974,579,022.52
  5. Step 5: Solve for x
    x = 129,974,579,022.52/412,227.28
  6. Step 6: Final answer
    x = 315,298.34

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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.