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Finding the Fourth Proportional to 419,727.68, 579,207.24 and 228,736.97

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Solution

The fourth proportional to 419,727.68, 579,207.24 and 228,736.97 is: 315,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,727.68 : 579,207.24 = 228,736.97 : x
  2. Step 2: Convert to fraction form
    419,727.68/579,207.24 = 228,736.97/x
  3. Step 3: Cross multiply
    419,727.68x = 579,207.24 × 228,736.97
  4. Step 4: Simplify right side
    419,727.68x = 132,486,106,183.63
  5. Step 5: Solve for x
    x = 132,486,106,183.63/419,727.68
  6. Step 6: Final answer
    x = 315,647.77

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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.