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Finding the Fourth Proportional to 298,295.46, 447,384.87 and 111,269.70

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Solution

The fourth proportional to 298,295.46, 447,384.87 and 111,269.70 is: 166,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,295.46 : 447,384.87 = 111,269.70 : x
  2. Step 2: Convert to fraction form
    298,295.46/447,384.87 = 111,269.70/x
  3. Step 3: Cross multiply
    298,295.46x = 447,384.87 × 111,269.70
  4. Step 4: Simplify right side
    298,295.46x = 49,780,380,269.44
  5. Step 5: Solve for x
    x = 49,780,380,269.44/298,295.46
  6. Step 6: Final answer
    x = 166,882.80

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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.