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Finding the Fourth Proportional to 361,893.58, 499,472.94 and 200,800.52

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Solution

The fourth proportional to 361,893.58, 499,472.94 and 200,800.52 is: 277,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,893.58 : 499,472.94 = 200,800.52 : x
  2. Step 2: Convert to fraction form
    361,893.58/499,472.94 = 200,800.52/x
  3. Step 3: Cross multiply
    361,893.58x = 499,472.94 × 200,800.52
  4. Step 4: Simplify right side
    361,893.58x = 100,294,426,077.93
  5. Step 5: Solve for x
    x = 100,294,426,077.93/361,893.58
  6. Step 6: Final answer
    x = 277,137.90

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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.