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Finding the Fourth Proportional to 419,734.36, 579,233.94 and 228,747.96

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Solution

The fourth proportional to 419,734.36, 579,233.94 and 228,747.96 is: 315,672.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,734.36 : 579,233.94 = 228,747.96 : x
  2. Step 2: Convert to fraction form
    419,734.36/579,233.94 = 228,747.96/x
  3. Step 3: Cross multiply
    419,734.36x = 579,233.94 × 228,747.96
  4. Step 4: Simplify right side
    419,734.36x = 132,498,582,137.76
  5. Step 5: Solve for x
    x = 132,498,582,137.76/419,734.36
  6. Step 6: Final answer
    x = 315,672.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.