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Finding the Fourth Proportional to 386,578.44, 533,504.88 and 216,823.50

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Solution

The fourth proportional to 386,578.44, 533,504.88 and 216,823.50 is: 299,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,578.44 : 533,504.88 = 216,823.50 : x
  2. Step 2: Convert to fraction form
    386,578.44/533,504.88 = 216,823.50/x
  3. Step 3: Cross multiply
    386,578.44x = 533,504.88 × 216,823.50
  4. Step 4: Simplify right side
    386,578.44x = 115,676,395,348.68
  5. Step 5: Solve for x
    x = 115,676,395,348.68/386,578.44
  6. Step 6: Final answer
    x = 299,231.37

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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.