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Finding the Fourth Proportional to 402,208.80, 603,313.20 and 267,489.60

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Solution

The fourth proportional to 402,208.80, 603,313.20 and 267,489.60 is: 401,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,208.80 : 603,313.20 = 267,489.60 : x
  2. Step 2: Convert to fraction form
    402,208.80/603,313.20 = 267,489.60/x
  3. Step 3: Cross multiply
    402,208.80x = 603,313.20 × 267,489.60
  4. Step 4: Simplify right side
    402,208.80x = 161,380,006,542.72
  5. Step 5: Solve for x
    x = 161,380,006,542.72/402,208.80
  6. Step 6: Final answer
    x = 401,234.40

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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.