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Finding the Fourth Proportional to 298,234.26, 447,213.14 and 111,195.54

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Solution

The fourth proportional to 298,234.26, 447,213.14 and 111,195.54 is: 166,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,234.26 : 447,213.14 = 111,195.54 : x
  2. Step 2: Convert to fraction form
    298,234.26/447,213.14 = 111,195.54/x
  3. Step 3: Cross multiply
    298,234.26x = 447,213.14 × 111,195.54
  4. Step 4: Simplify right side
    298,234.26x = 49,728,106,597.40
  5. Step 5: Solve for x
    x = 49,728,106,597.40/298,234.26
  6. Step 6: Final answer
    x = 166,741.76

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1.5x scale

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.