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Finding the Fourth Proportional to 305,971.22, 422,238.93 and 170,027.30

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Solution

The fourth proportional to 305,971.22, 422,238.93 and 170,027.30 is: 234,636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,971.22 : 422,238.93 = 170,027.30 : x
  2. Step 2: Convert to fraction form
    305,971.22/422,238.93 = 170,027.30/x
  3. Step 3: Cross multiply
    305,971.22x = 422,238.93 × 170,027.30
  4. Step 4: Simplify right side
    305,971.22x = 71,792,145,640.78
  5. Step 5: Solve for x
    x = 71,792,145,640.78/305,971.22
  6. Step 6: Final answer
    x = 234,636.92

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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.