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Finding the Fourth Proportional to 323,819.20, 485,145.60 and 199,014.40

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Solution

The fourth proportional to 323,819.20, 485,145.60 and 199,014.40 is: 298,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,819.20 : 485,145.60 = 199,014.40 : x
  2. Step 2: Convert to fraction form
    323,819.20/485,145.60 = 199,014.40/x
  3. Step 3: Cross multiply
    323,819.20x = 485,145.60 × 199,014.40
  4. Step 4: Simplify right side
    323,819.20x = 96,550,960,496.64
  5. Step 5: Solve for x
    x = 96,550,960,496.64/323,819.20
  6. Step 6: Final answer
    x = 298,163.17

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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.