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Finding the Fourth Proportional to 285,846.40, 394,404.92 and 164,962

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Solution

The fourth proportional to 285,846.40, 394,404.92 and 164,962 is: 227,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,846.40 : 394,404.92 = 164,962 : x
  2. Step 2: Convert to fraction form
    285,846.40/394,404.92 = 164,962/x
  3. Step 3: Cross multiply
    285,846.40x = 394,404.92 × 164,962
  4. Step 4: Simplify right side
    285,846.40x = 65,061,824,413.04
  5. Step 5: Solve for x
    x = 65,061,824,413.04/285,846.40
  6. Step 6: Final answer
    x = 227,611.14

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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.