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Finding the Fourth Proportional to 285,896, 394,538.32 and 158,571.92

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Solution

The fourth proportional to 285,896, 394,538.32 and 158,571.92 is: 218,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,896 : 394,538.32 = 158,571.92 : x
  2. Step 2: Convert to fraction form
    285,896/394,538.32 = 158,571.92/x
  3. Step 3: Cross multiply
    285,896x = 394,538.32 × 158,571.92
  4. Step 4: Simplify right side
    285,896x = 62,562,698,915.97
  5. Step 5: Solve for x
    x = 62,562,698,915.97/285,896
  6. Step 6: Final answer
    x = 218,830.27

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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.