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Finding the Fourth Proportional to 419,076.48, 578,323.89 and 228,091.44

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Solution

The fourth proportional to 419,076.48, 578,323.89 and 228,091.44 is: 314,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,076.48 : 578,323.89 = 228,091.44 : x
  2. Step 2: Convert to fraction form
    419,076.48/578,323.89 = 228,091.44/x
  3. Step 3: Cross multiply
    419,076.48x = 578,323.89 × 228,091.44
  4. Step 4: Simplify right side
    419,076.48x = 131,910,728,856.50
  5. Step 5: Solve for x
    x = 131,910,728,856.50/419,076.48
  6. Step 6: Final answer
    x = 314,765.29

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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.