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Finding the Fourth Proportional to 361,804.23, 499,306.50 and 200,649.66

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Solution

The fourth proportional to 361,804.23, 499,306.50 and 200,649.66 is: 276,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,804.23 : 499,306.50 = 200,649.66 : x
  2. Step 2: Convert to fraction form
    361,804.23/499,306.50 = 200,649.66/x
  3. Step 3: Cross multiply
    361,804.23x = 499,306.50 × 200,649.66
  4. Step 4: Simplify right side
    361,804.23x = 100,185,679,460.79
  5. Step 5: Solve for x
    x = 100,185,679,460.79/361,804.23
  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.