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Finding the Fourth Proportional to 376,599.54, 519,732.81 and 206,835.42

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Solution

The fourth proportional to 376,599.54, 519,732.81 and 206,835.42 is: 285,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,599.54 : 519,732.81 = 206,835.42 : x
  2. Step 2: Convert to fraction form
    376,599.54/519,732.81 = 206,835.42/x
  3. Step 3: Cross multiply
    376,599.54x = 519,732.81 × 206,835.42
  4. Step 4: Simplify right side
    376,599.54x = 107,499,154,044.13
  5. Step 5: Solve for x
    x = 107,499,154,044.13/376,599.54
  6. Step 6: Final answer
    x = 285,446.85

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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.