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Finding the Fourth Proportional to 298,600.88, 412,069.23 and 164,464.88

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Solution

The fourth proportional to 298,600.88, 412,069.23 and 164,464.88 is: 226,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,600.88 : 412,069.23 = 164,464.88 : x
  2. Step 2: Convert to fraction form
    298,600.88/412,069.23 = 164,464.88/x
  3. Step 3: Cross multiply
    298,600.88x = 412,069.23 × 164,464.88
  4. Step 4: Simplify right side
    298,600.88x = 67,770,914,403.30
  5. Step 5: Solve for x
    x = 67,770,914,403.30/298,600.88
  6. Step 6: Final answer
    x = 226,961.54

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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.