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Finding the Fourth Proportional to 264,778.08, 397,298.72 and 164,912.96

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Solution

The fourth proportional to 264,778.08, 397,298.72 and 164,912.96 is: 247,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,778.08 : 397,298.72 = 164,912.96 : x
  2. Step 2: Convert to fraction form
    264,778.08/397,298.72 = 164,912.96/x
  3. Step 3: Cross multiply
    264,778.08x = 397,298.72 × 164,912.96
  4. Step 4: Simplify right side
    264,778.08x = 65,519,707,919.41
  5. Step 5: Solve for x
    x = 65,519,707,919.41/264,778.08
  6. Step 6: Final answer
    x = 247,451.41

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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.