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Finding the Fourth Proportional to 215,860.80, 323,791.20 and 200,114.40

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Solution

The fourth proportional to 215,860.80, 323,791.20 and 200,114.40 is: 300,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,860.80 : 323,791.20 = 200,114.40 : x
  2. Step 2: Convert to fraction form
    215,860.80/323,791.20 = 200,114.40/x
  3. Step 3: Cross multiply
    215,860.80x = 323,791.20 × 200,114.40
  4. Step 4: Simplify right side
    215,860.80x = 64,795,281,713.28
  5. Step 5: Solve for x
    x = 64,795,281,713.28/215,860.80
  6. Step 6: Final answer
    x = 300,171.60

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1.5x scale

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.