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Finding the Fourth Proportional to 378,821.07, 522,765.43 and 206,742.44

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Solution

The fourth proportional to 378,821.07, 522,765.43 and 206,742.44 is: 285,300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,821.07 : 522,765.43 = 206,742.44 : x
  2. Step 2: Convert to fraction form
    378,821.07/522,765.43 = 206,742.44/x
  3. Step 3: Cross multiply
    378,821.07x = 522,765.43 × 206,742.44
  4. Step 4: Simplify right side
    378,821.07x = 108,077,801,335.91
  5. Step 5: Solve for x
    x = 108,077,801,335.91/378,821.07
  6. Step 6: Final answer
    x = 285,300.40

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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.