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Finding the Fourth Proportional to 301,864, 416,586 and 167,728

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Solution

The fourth proportional to 301,864, 416,586 and 167,728 is: 231,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,864 : 416,586 = 167,728 : x
  2. Step 2: Convert to fraction form
    301,864/416,586 = 167,728/x
  3. Step 3: Cross multiply
    301,864x = 416,586 × 167,728
  4. Step 4: Simplify right side
    301,864x = 69,873,136,608
  5. Step 5: Solve for x
    x = 69,873,136,608/301,864
  6. Step 6: Final answer
    x = 231,472.24

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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.