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Finding the Fourth Proportional to 378,417.27, 522,219.92 and 206,333.84

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Solution

The fourth proportional to 378,417.27, 522,219.92 and 206,333.84 is: 284,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,417.27 : 522,219.92 = 206,333.84 : x
  2. Step 2: Convert to fraction form
    378,417.27/522,219.92 = 206,333.84/x
  3. Step 3: Cross multiply
    378,417.27x = 522,219.92 × 206,333.84
  4. Step 4: Simplify right side
    378,417.27x = 107,751,637,775.32
  5. Step 5: Solve for x
    x = 107,751,637,775.32/378,417.27
  6. Step 6: Final answer
    x = 284,742.92

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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.