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Finding the Fourth Proportional to 290,884.26, 401,414.94 and 161,822.10

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Solution

The fourth proportional to 290,884.26, 401,414.94 and 161,822.10 is: 223,311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,884.26 : 401,414.94 = 161,822.10 : x
  2. Step 2: Convert to fraction form
    290,884.26/401,414.94 = 161,822.10/x
  3. Step 3: Cross multiply
    290,884.26x = 401,414.94 × 161,822.10
  4. Step 4: Simplify right side
    290,884.26x = 64,957,808,562.17
  5. Step 5: Solve for x
    x = 64,957,808,562.17/290,884.26
  6. Step 6: Final answer
    x = 223,311.53

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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.