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Finding the Fourth Proportional to 290,724.36, 401,190.26 and 161,662.20

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Solution

The fourth proportional to 290,724.36, 401,190.26 and 161,662.20 is: 223,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,724.36 : 401,190.26 = 161,662.20 : x
  2. Step 2: Convert to fraction form
    290,724.36/401,190.26 = 161,662.20/x
  3. Step 3: Cross multiply
    290,724.36x = 401,190.26 × 161,662.20
  4. Step 4: Simplify right side
    290,724.36x = 64,857,300,050.17
  5. Step 5: Solve for x
    x = 64,857,300,050.17/290,724.36
  6. Step 6: Final answer
    x = 223,088.63

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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.