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Finding the Fourth Proportional to 419,405.38, 578,786.02 and 228,418.62

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Solution

The fourth proportional to 419,405.38, 578,786.02 and 228,418.62 is: 315,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,405.38 : 578,786.02 = 228,418.62 : x
  2. Step 2: Convert to fraction form
    419,405.38/578,786.02 = 228,418.62/x
  3. Step 3: Cross multiply
    419,405.38x = 578,786.02 × 228,418.62
  4. Step 4: Simplify right side
    419,405.38x = 132,205,503,963.69
  5. Step 5: Solve for x
    x = 132,205,503,963.69/419,405.38
  6. Step 6: Final answer
    x = 315,221.29

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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.