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Finding the Fourth Proportional to 298,091.34, 447,137.26 and 73,451.80

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Solution

The fourth proportional to 298,091.34, 447,137.26 and 73,451.80 is: 110,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,091.34 : 447,137.26 = 73,451.80 : x
  2. Step 2: Convert to fraction form
    298,091.34/447,137.26 = 73,451.80/x
  3. Step 3: Cross multiply
    298,091.34x = 447,137.26 × 73,451.80
  4. Step 4: Simplify right side
    298,091.34x = 32,843,036,410.44
  5. Step 5: Solve for x
    x = 32,843,036,410.44/298,091.34
  6. Step 6: Final answer
    x = 110,177.76

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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.