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Finding the Fourth Proportional to 361,953.86, 499,499.34 and 200,819.48

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Solution

The fourth proportional to 361,953.86, 499,499.34 and 200,819.48 is: 277,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,953.86 : 499,499.34 = 200,819.48 : x
  2. Step 2: Convert to fraction form
    361,953.86/499,499.34 = 200,819.48/x
  3. Step 3: Cross multiply
    361,953.86x = 499,499.34 × 200,819.48
  4. Step 4: Simplify right side
    361,953.86x = 100,309,197,719.14
  5. Step 5: Solve for x
    x = 100,309,197,719.14/361,953.86
  6. Step 6: Final answer
    x = 277,132.55

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