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Finding the Fourth Proportional to 376,238.64, 519,215.16 and 206,470.32

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Solution

The fourth proportional to 376,238.64, 519,215.16 and 206,470.32 is: 284,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,238.64 : 519,215.16 = 206,470.32 : x
  2. Step 2: Convert to fraction form
    376,238.64/519,215.16 = 206,470.32/x
  3. Step 3: Cross multiply
    376,238.64x = 519,215.16 × 206,470.32
  4. Step 4: Simplify right side
    376,238.64x = 107,202,520,234.05
  5. Step 5: Solve for x
    x = 107,202,520,234.05/376,238.64
  6. Step 6: Final answer
    x = 284,932.24

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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.