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Finding the Fourth Proportional to 285,718.84, 394,292.56 and 158,394.44

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Solution

The fourth proportional to 285,718.84, 394,292.56 and 158,394.44 is: 218,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,718.84 : 394,292.56 = 158,394.44 : x
  2. Step 2: Convert to fraction form
    285,718.84/394,292.56 = 158,394.44/x
  3. Step 3: Cross multiply
    285,718.84x = 394,292.56 × 158,394.44
  4. Step 4: Simplify right side
    285,718.84x = 62,453,747,906.21
  5. Step 5: Solve for x
    x = 62,453,747,906.21/285,718.84
  6. Step 6: Final answer
    x = 218,584.63

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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.