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Finding the Fourth Proportional to 215,847.10, 323,770.65 and 214,464.70

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Solution

The fourth proportional to 215,847.10, 323,770.65 and 214,464.70 is: 321,697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,847.10 : 323,770.65 = 214,464.70 : x
  2. Step 2: Convert to fraction form
    215,847.10/323,770.65 = 214,464.70/x
  3. Step 3: Cross multiply
    215,847.10x = 323,770.65 × 214,464.70
  4. Step 4: Simplify right side
    215,847.10x = 69,437,375,321.06
  5. Step 5: Solve for x
    x = 69,437,375,321.06/215,847.10
  6. Step 6: Final answer
    x = 321,697.05

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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.