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Finding the Fourth Proportional to 376,326.40, 519,336.32 and 206,576

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Solution

The fourth proportional to 376,326.40, 519,336.32 and 206,576 is: 285,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,326.40 : 519,336.32 = 206,576 : x
  2. Step 2: Convert to fraction form
    376,326.40/519,336.32 = 206,576/x
  3. Step 3: Cross multiply
    376,326.40x = 519,336.32 × 206,576
  4. Step 4: Simplify right side
    376,326.40x = 107,282,419,640.32
  5. Step 5: Solve for x
    x = 107,282,419,640.32/376,326.40
  6. Step 6: Final answer
    x = 285,078.11

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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.