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Finding the Fourth Proportional to 361,884.61, 499,421.97 and 200,757.37

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Solution

The fourth proportional to 361,884.61, 499,421.97 and 200,757.37 is: 277,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,884.61 : 499,421.97 = 200,757.37 : x
  2. Step 2: Convert to fraction form
    361,884.61/499,421.97 = 200,757.37/x
  3. Step 3: Cross multiply
    361,884.61x = 499,421.97 × 200,757.37
  4. Step 4: Simplify right side
    361,884.61x = 100,262,641,217.42
  5. Step 5: Solve for x
    x = 100,262,641,217.42/361,884.61
  6. Step 6: Final answer
    x = 277,056.94

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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.