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Finding the Fourth Proportional to 376,076.82, 518,999.49 and 206,315.94

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Solution

The fourth proportional to 376,076.82, 518,999.49 and 206,315.94 is: 284,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,076.82 : 518,999.49 = 206,315.94 : x
  2. Step 2: Convert to fraction form
    376,076.82/518,999.49 = 206,315.94/x
  3. Step 3: Cross multiply
    376,076.82x = 518,999.49 × 206,315.94
  4. Step 4: Simplify right side
    376,076.82x = 107,077,867,638.87
  5. Step 5: Solve for x
    x = 107,077,867,638.87/376,076.82
  6. Step 6: Final answer
    x = 284,723.39

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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.