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Finding the Fourth Proportional to 419,093.01, 578,349.77 and 228,105.95

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Solution

The fourth proportional to 419,093.01, 578,349.77 and 228,105.95 is: 314,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,093.01 : 578,349.77 = 228,105.95 : x
  2. Step 2: Convert to fraction form
    419,093.01/578,349.77 = 228,105.95/x
  3. Step 3: Cross multiply
    419,093.01x = 578,349.77 × 228,105.95
  4. Step 4: Simplify right side
    419,093.01x = 131,925,019,685.85
  5. Step 5: Solve for x
    x = 131,925,019,685.85/419,093.01
  6. Step 6: Final answer
    x = 314,786.97

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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.