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Finding the Fourth Proportional to 355,906.46, 491,150.96 and 194,761.54

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Solution

The fourth proportional to 355,906.46, 491,150.96 and 194,761.54 is: 268,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,906.46 : 491,150.96 = 194,761.54 : x
  2. Step 2: Convert to fraction form
    355,906.46/491,150.96 = 194,761.54/x
  3. Step 3: Cross multiply
    355,906.46x = 491,150.96 × 194,761.54
  4. Step 4: Simplify right side
    355,906.46x = 95,657,317,342.08
  5. Step 5: Solve for x
    x = 95,657,317,342.08/355,906.46
  6. Step 6: Final answer
    x = 268,770.95

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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.