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Finding the Fourth Proportional to 396,074.82, 593,251.65 and 243,807.78

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Solution

The fourth proportional to 396,074.82, 593,251.65 and 243,807.78 is: 365,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,074.82 : 593,251.65 = 243,807.78 : x
  2. Step 2: Convert to fraction form
    396,074.82/593,251.65 = 243,807.78/x
  3. Step 3: Cross multiply
    396,074.82x = 593,251.65 × 243,807.78
  4. Step 4: Simplify right side
    396,074.82x = 144,639,367,767.84
  5. Step 5: Solve for x
    x = 144,639,367,767.84/396,074.82
  6. Step 6: Final answer
    x = 365,181.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.