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Finding the Fourth Proportional to 323,832.20, 485,165.10 and 199,027.40

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Solution

The fourth proportional to 323,832.20, 485,165.10 and 199,027.40 is: 298,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,832.20 : 485,165.10 = 199,027.40 : x
  2. Step 2: Convert to fraction form
    323,832.20/485,165.10 = 199,027.40/x
  3. Step 3: Cross multiply
    323,832.20x = 485,165.10 × 199,027.40
  4. Step 4: Simplify right side
    323,832.20x = 96,561,148,423.74
  5. Step 5: Solve for x
    x = 96,561,148,423.74/323,832.20
  6. Step 6: Final answer
    x = 298,182.67

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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.