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Finding the Fourth Proportional to 298,243.26, 447,226.65 and 111,204.54

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Solution

The fourth proportional to 298,243.26, 447,226.65 and 111,204.54 is: 166,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,243.26 : 447,226.65 = 111,204.54 : x
  2. Step 2: Convert to fraction form
    298,243.26/447,226.65 = 111,204.54/x
  3. Step 3: Cross multiply
    298,243.26x = 447,226.65 × 111,204.54
  4. Step 4: Simplify right side
    298,243.26x = 49,733,633,888.99
  5. Step 5: Solve for x
    x = 49,733,633,888.99/298,243.26
  6. Step 6: Final answer
    x = 166,755.27

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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.