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Finding the Fourth Proportional to 298,067.09, 447,100.76 and 73,431.90

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Solution

The fourth proportional to 298,067.09, 447,100.76 and 73,431.90 is: 110,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,067.09 : 447,100.76 = 73,431.90 : x
  2. Step 2: Convert to fraction form
    298,067.09/447,100.76 = 73,431.90/x
  3. Step 3: Cross multiply
    298,067.09x = 447,100.76 × 73,431.90
  4. Step 4: Simplify right side
    298,067.09x = 32,831,455,695.58
  5. Step 5: Solve for x
    x = 32,831,455,695.58/298,067.09
  6. Step 6: Final answer
    x = 110,147.87

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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.