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Finding the Fourth Proportional to 361,804.22, 499,306.49 and 200,649.66

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Solution

The fourth proportional to 361,804.22, 499,306.49 and 200,649.66 is: 276,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,804.22 : 499,306.49 = 200,649.66 : x
  2. Step 2: Convert to fraction form
    361,804.22/499,306.49 = 200,649.66/x
  3. Step 3: Cross multiply
    361,804.22x = 499,306.49 × 200,649.66
  4. Step 4: Simplify right side
    361,804.22x = 100,185,676,451.05
  5. Step 5: Solve for x
    x = 100,185,676,451.05/361,804.22
  6. Step 6: Final answer
    x = 276,905.77

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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.