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Finding the Fourth Proportional to 386,022.96, 532,732.88 and 213,937.31

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Solution

The fourth proportional to 386,022.96, 532,732.88 and 213,937.31 is: 295,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,022.96 : 532,732.88 = 213,937.31 : x
  2. Step 2: Convert to fraction form
    386,022.96/532,732.88 = 213,937.31/x
  3. Step 3: Cross multiply
    386,022.96x = 532,732.88 × 213,937.31
  4. Step 4: Simplify right side
    386,022.96x = 113,971,441,162.43
  5. Step 5: Solve for x
    x = 113,971,441,162.43/386,022.96
  6. Step 6: Final answer
    x = 295,245.24

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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.