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Finding the Fourth Proportional to 361,885.86, 499,405.50 and 200,751.48

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Solution

The fourth proportional to 361,885.86, 499,405.50 and 200,751.48 is: 277,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,885.86 : 499,405.50 = 200,751.48 : x
  2. Step 2: Convert to fraction form
    361,885.86/499,405.50 = 200,751.48/x
  3. Step 3: Cross multiply
    361,885.86x = 499,405.50 × 200,751.48
  4. Step 4: Simplify right side
    361,885.86x = 100,256,393,245.14
  5. Step 5: Solve for x
    x = 100,256,393,245.14/361,885.86
  6. Step 6: Final answer
    x = 277,038.71

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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.