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Finding the Fourth Proportional to 361,840.07, 499,399.09 and 200,747.02

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Solution

The fourth proportional to 361,840.07, 499,399.09 and 200,747.02 is: 277,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,840.07 : 499,399.09 = 200,747.02 : x
  2. Step 2: Convert to fraction form
    361,840.07/499,399.09 = 200,747.02/x
  3. Step 3: Cross multiply
    361,840.07x = 499,399.09 × 200,747.02
  4. Step 4: Simplify right side
    361,840.07x = 100,252,876,889.66
  5. Step 5: Solve for x
    x = 100,252,876,889.66/361,840.07
  6. Step 6: Final answer
    x = 277,064.05

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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.