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Finding the Fourth Proportional to 290,444.72, 400,812.42 and 161,404.22

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Solution

The fourth proportional to 290,444.72, 400,812.42 and 161,404.22 is: 222,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,444.72 : 400,812.42 = 161,404.22 : x
  2. Step 2: Convert to fraction form
    290,444.72/400,812.42 = 161,404.22/x
  3. Step 3: Cross multiply
    290,444.72x = 400,812.42 × 161,404.22
  4. Step 4: Simplify right side
    290,444.72x = 64,692,816,016.41
  5. Step 5: Solve for x
    x = 64,692,816,016.41/290,444.72
  6. Step 6: Final answer
    x = 222,737.10

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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.