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Finding the Fourth Proportional to 419,696.11, 579,178.82 and 228,709.49

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Solution

The fourth proportional to 419,696.11, 579,178.82 and 228,709.49 is: 315,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,696.11 : 579,178.82 = 228,709.49 : x
  2. Step 2: Convert to fraction form
    419,696.11/579,178.82 = 228,709.49/x
  3. Step 3: Cross multiply
    419,696.11x = 579,178.82 × 228,709.49
  4. Step 4: Simplify right side
    419,696.11x = 132,463,691,397.45
  5. Step 5: Solve for x
    x = 132,463,691,397.45/419,696.11
  6. Step 6: Final answer
    x = 315,618.11

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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.