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Finding the Fourth Proportional to 378,120.30, 521,799.84 and 206,040.34

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Solution

The fourth proportional to 378,120.30, 521,799.84 and 206,040.34 is: 284,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,120.30 : 521,799.84 = 206,040.34 : x
  2. Step 2: Convert to fraction form
    378,120.30/521,799.84 = 206,040.34/x
  3. Step 3: Cross multiply
    378,120.30x = 521,799.84 × 206,040.34
  4. Step 4: Simplify right side
    378,120.30x = 107,511,816,445.55
  5. Step 5: Solve for x
    x = 107,511,816,445.55/378,120.30
  6. Step 6: Final answer
    x = 284,332.30

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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.