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Finding the Fourth Proportional to 306,229.96, 422,611.40 and 170,277.84

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Solution

The fourth proportional to 306,229.96, 422,611.40 and 170,277.84 is: 234,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,229.96 : 422,611.40 = 170,277.84 : x
  2. Step 2: Convert to fraction form
    306,229.96/422,611.40 = 170,277.84/x
  3. Step 3: Cross multiply
    306,229.96x = 422,611.40 × 170,277.84
  4. Step 4: Simplify right side
    306,229.96x = 71,961,356,351.38
  5. Step 5: Solve for x
    x = 71,961,356,351.38/306,229.96
  6. Step 6: Final answer
    x = 234,991.23

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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.