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Finding the Fourth Proportional to 303,847.20, 419,223.78 and 174,778.92

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Solution

The fourth proportional to 303,847.20, 419,223.78 and 174,778.92 is: 241,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,847.20 : 419,223.78 = 174,778.92 : x
  2. Step 2: Convert to fraction form
    303,847.20/419,223.78 = 174,778.92/x
  3. Step 3: Cross multiply
    303,847.20x = 419,223.78 × 174,778.92
  4. Step 4: Simplify right side
    303,847.20x = 73,271,479,506.72
  5. Step 5: Solve for x
    x = 73,271,479,506.72/303,847.20
  6. Step 6: Final answer
    x = 241,145.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.