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Finding the Fourth Proportional to 376,624.28, 519,736.65 and 206,847.47

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Solution

The fourth proportional to 376,624.28, 519,736.65 and 206,847.47 is: 285,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,624.28 : 519,736.65 = 206,847.47 : x
  2. Step 2: Convert to fraction form
    376,624.28/519,736.65 = 206,847.47/x
  3. Step 3: Cross multiply
    376,624.28x = 519,736.65 × 206,847.47
  4. Step 4: Simplify right side
    376,624.28x = 107,506,211,118.78
  5. Step 5: Solve for x
    x = 107,506,211,118.78/376,624.28
  6. Step 6: Final answer
    x = 285,446.84

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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.