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Finding the Fourth Proportional to 419,734.40, 579,233.90 and 228,747.94

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Solution

The fourth proportional to 419,734.40, 579,233.90 and 228,747.94 is: 315,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,734.40 : 579,233.90 = 228,747.94 : x
  2. Step 2: Convert to fraction form
    419,734.40/579,233.90 = 228,747.94/x
  3. Step 3: Cross multiply
    419,734.40x = 579,233.90 × 228,747.94
  4. Step 4: Simplify right side
    419,734.40x = 132,498,561,403.17
  5. Step 5: Solve for x
    x = 132,498,561,403.17/419,734.40
  6. Step 6: Final answer
    x = 315,672.39

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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.