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Finding the Fourth Proportional to 312,799.46, 466,910.06 and 268,709.54

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Solution

The fourth proportional to 312,799.46, 466,910.06 and 268,709.54 is: 401,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,799.46 : 466,910.06 = 268,709.54 : x
  2. Step 2: Convert to fraction form
    312,799.46/466,910.06 = 268,709.54/x
  3. Step 3: Cross multiply
    312,799.46x = 466,910.06 × 268,709.54
  4. Step 4: Simplify right side
    312,799.46x = 125,463,183,765.87
  5. Step 5: Solve for x
    x = 125,463,183,765.87/312,799.46
  6. Step 6: Final answer
    x = 401,097.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.