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Finding the Fourth Proportional to 419,761.09, 579,253.44 and 228,770.38

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Solution

The fourth proportional to 419,761.09, 579,253.44 and 228,770.38 is: 315,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,761.09 : 579,253.44 = 228,770.38 : x
  2. Step 2: Convert to fraction form
    419,761.09/579,253.44 = 228,770.38/x
  3. Step 3: Cross multiply
    419,761.09x = 579,253.44 × 228,770.38
  4. Step 4: Simplify right side
    419,761.09x = 132,516,029,585.11
  5. Step 5: Solve for x
    x = 132,516,029,585.11/419,761.09
  6. Step 6: Final answer
    x = 315,693.93

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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.