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Finding the Fourth Proportional to 332,478.26, 499,455.58 and 206,211.86

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Solution

The fourth proportional to 332,478.26, 499,455.58 and 206,211.86 is: 309,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,478.26 : 499,455.58 = 206,211.86 : x
  2. Step 2: Convert to fraction form
    332,478.26/499,455.58 = 206,211.86/x
  3. Step 3: Cross multiply
    332,478.26x = 499,455.58 × 206,211.86
  4. Step 4: Simplify right side
    332,478.26x = 102,993,663,108.12
  5. Step 5: Solve for x
    x = 102,993,663,108.12/332,478.26
  6. Step 6: Final answer
    x = 309,775.63

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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.