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Finding the Fourth Proportional to 376,589.73, 519,697.92 and 206,823.86

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Solution

The fourth proportional to 376,589.73, 519,697.92 and 206,823.86 is: 285,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,589.73 : 519,697.92 = 206,823.86 : x
  2. Step 2: Convert to fraction form
    376,589.73/519,697.92 = 206,823.86/x
  3. Step 3: Cross multiply
    376,589.73x = 519,697.92 × 206,823.86
  4. Step 4: Simplify right side
    376,589.73x = 107,485,927,249.88
  5. Step 5: Solve for x
    x = 107,485,927,249.88/376,589.73
  6. Step 6: Final answer
    x = 285,419.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.