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Finding the Fourth Proportional to 402,212.80, 603,319.20 and 267,493.60

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Solution

The fourth proportional to 402,212.80, 603,319.20 and 267,493.60 is: 401,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,212.80 : 603,319.20 = 267,493.60 : x
  2. Step 2: Convert to fraction form
    402,212.80/603,319.20 = 267,493.60/x
  3. Step 3: Cross multiply
    402,212.80x = 603,319.20 × 267,493.60
  4. Step 4: Simplify right side
    402,212.80x = 161,384,024,757.12
  5. Step 5: Solve for x
    x = 161,384,024,757.12/402,212.80
  6. Step 6: Final answer
    x = 401,240.40

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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.