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Finding the Fourth Proportional to 314,163.26, 471,249.76 and 298,212.74

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Solution

The fourth proportional to 314,163.26, 471,249.76 and 298,212.74 is: 447,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,163.26 : 471,249.76 = 298,212.74 : x
  2. Step 2: Convert to fraction form
    314,163.26/471,249.76 = 298,212.74/x
  3. Step 3: Cross multiply
    314,163.26x = 471,249.76 × 298,212.74
  4. Step 4: Simplify right side
    314,163.26x = 140,532,682,153.94
  5. Step 5: Solve for x
    x = 140,532,682,153.94/314,163.26
  6. Step 6: Final answer
    x = 447,323.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.