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Finding the Fourth Proportional to 301,199.40, 451,280.70 and 195,964.20

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Solution

The fourth proportional to 301,199.40, 451,280.70 and 195,964.20 is: 293,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,199.40 : 451,280.70 = 195,964.20 : x
  2. Step 2: Convert to fraction form
    301,199.40/451,280.70 = 195,964.20/x
  3. Step 3: Cross multiply
    301,199.40x = 451,280.70 × 195,964.20
  4. Step 4: Simplify right side
    301,199.40x = 88,434,861,350.94
  5. Step 5: Solve for x
    x = 88,434,861,350.94/301,199.40
  6. Step 6: Final answer
    x = 293,609.02

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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.