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Finding the Fourth Proportional to 290,473.12, 400,844.91 and 161,408.26

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Solution

The fourth proportional to 290,473.12, 400,844.91 and 161,408.26 is: 222,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,473.12 : 400,844.91 = 161,408.26 : x
  2. Step 2: Convert to fraction form
    290,473.12/400,844.91 = 161,408.26/x
  3. Step 3: Cross multiply
    290,473.12x = 400,844.91 × 161,408.26
  4. Step 4: Simplify right side
    290,473.12x = 64,699,679,452.96
  5. Step 5: Solve for x
    x = 64,699,679,452.96/290,473.12
  6. Step 6: Final answer
    x = 222,738.96

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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.