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Finding the Fourth Proportional to 323,820.20, 485,147.10 and 199,015.40

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Solution

The fourth proportional to 323,820.20, 485,147.10 and 199,015.40 is: 298,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,820.20 : 485,147.10 = 199,015.40 : x
  2. Step 2: Convert to fraction form
    323,820.20/485,147.10 = 199,015.40/x
  3. Step 3: Cross multiply
    323,820.20x = 485,147.10 × 199,015.40
  4. Step 4: Simplify right side
    323,820.20x = 96,551,744,165.34
  5. Step 5: Solve for x
    x = 96,551,744,165.34/323,820.20
  6. Step 6: Final answer
    x = 298,164.67

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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.