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Finding the Fourth Proportional to 331,471.80, 496,622.10 and 320,508.60

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Solution

The fourth proportional to 331,471.80, 496,622.10 and 320,508.60 is: 480,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,471.80 : 496,622.10 = 320,508.60 : x
  2. Step 2: Convert to fraction form
    331,471.80/496,622.10 = 320,508.60/x
  3. Step 3: Cross multiply
    331,471.80x = 496,622.10 × 320,508.60
  4. Step 4: Simplify right side
    331,471.80x = 159,171,654,000.06
  5. Step 5: Solve for x
    x = 159,171,654,000.06/331,471.80
  6. Step 6: Final answer
    x = 480,196.67

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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.