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Finding the Fourth Proportional to 419,725.38, 579,220.02 and 228,738.27

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Solution

The fourth proportional to 419,725.38, 579,220.02 and 228,738.27 is: 315,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,725.38 : 579,220.02 = 228,738.27 : x
  2. Step 2: Convert to fraction form
    419,725.38/579,220.02 = 228,738.27/x
  3. Step 3: Cross multiply
    419,725.38x = 579,220.02 × 228,738.27
  4. Step 4: Simplify right side
    419,725.38x = 132,489,785,324.17
  5. Step 5: Solve for x
    x = 132,489,785,324.17/419,725.38
  6. Step 6: Final answer
    x = 315,658.27

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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.