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Finding the Fourth Proportional to 264,435.96, 395,768.34 and 217,049.52

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Solution

The fourth proportional to 264,435.96, 395,768.34 and 217,049.52 is: 324,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,435.96 : 395,768.34 = 217,049.52 : x
  2. Step 2: Convert to fraction form
    264,435.96/395,768.34 = 217,049.52/x
  3. Step 3: Cross multiply
    264,435.96x = 395,768.34 × 217,049.52
  4. Step 4: Simplify right side
    264,435.96x = 85,901,328,228.20
  5. Step 5: Solve for x
    x = 85,901,328,228.20/264,435.96
  6. Step 6: Final answer
    x = 324,847.38

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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.