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Finding the Fourth Proportional to 394,906.90, 591,823.59 and 167,013.07

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Solution

The fourth proportional to 394,906.90, 591,823.59 and 167,013.07 is: 250,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,906.90 : 591,823.59 = 167,013.07 : x
  2. Step 2: Convert to fraction form
    394,906.90/591,823.59 = 167,013.07/x
  3. Step 3: Cross multiply
    394,906.90x = 591,823.59 × 167,013.07
  4. Step 4: Simplify right side
    394,906.90x = 98,842,274,664.32
  5. Step 5: Solve for x
    x = 98,842,274,664.32/394,906.90
  6. Step 6: Final answer
    x = 250,292.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.