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Finding the Fourth Proportional to 361,764.54, 499,227.26 and 208,790.73

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Solution

The fourth proportional to 361,764.54, 499,227.26 and 208,790.73 is: 288,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,764.54 : 499,227.26 = 208,790.73 : x
  2. Step 2: Convert to fraction form
    361,764.54/499,227.26 = 208,790.73/x
  3. Step 3: Cross multiply
    361,764.54x = 499,227.26 × 208,790.73
  4. Step 4: Simplify right side
    361,764.54x = 104,234,023,007.35
  5. Step 5: Solve for x
    x = 104,234,023,007.35/361,764.54
  6. Step 6: Final answer
    x = 288,126.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.