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Finding the Fourth Proportional to 285,611.22, 394,053.42 and 164,736.30

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Solution

The fourth proportional to 285,611.22, 394,053.42 and 164,736.30 is: 227,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,611.22 : 394,053.42 = 164,736.30 : x
  2. Step 2: Convert to fraction form
    285,611.22/394,053.42 = 164,736.30/x
  3. Step 3: Cross multiply
    285,611.22x = 394,053.42 × 164,736.30
  4. Step 4: Simplify right side
    285,611.22x = 64,914,902,413.15
  5. Step 5: Solve for x
    x = 64,914,902,413.15/285,611.22
  6. Step 6: Final answer
    x = 227,284.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.