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Finding the Fourth Proportional to 419,186.77, 578,481.32 and 228,199.70

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Solution

The fourth proportional to 419,186.77, 578,481.32 and 228,199.70 is: 314,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,186.77 : 578,481.32 = 228,199.70 : x
  2. Step 2: Convert to fraction form
    419,186.77/578,481.32 = 228,199.70/x
  3. Step 3: Cross multiply
    419,186.77x = 578,481.32 × 228,199.70
  4. Step 4: Simplify right side
    419,186.77x = 132,009,265,696.31
  5. Step 5: Solve for x
    x = 132,009,265,696.31/419,186.77
  6. Step 6: Final answer
    x = 314,917.54

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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.