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Finding the Fourth Proportional to 290,850.22, 401,378.32 and 161,799

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Solution

The fourth proportional to 290,850.22, 401,378.32 and 161,799 is: 223,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,850.22 : 401,378.32 = 161,799 : x
  2. Step 2: Convert to fraction form
    290,850.22/401,378.32 = 161,799/x
  3. Step 3: Cross multiply
    290,850.22x = 401,378.32 × 161,799
  4. Step 4: Simplify right side
    290,850.22x = 64,942,610,797.68
  5. Step 5: Solve for x
    x = 64,942,610,797.68/290,850.22
  6. Step 6: Final answer
    x = 223,285.41

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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.