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Finding the Fourth Proportional to 361,871.56, 499,442.52 and 200,778.52

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Solution

The fourth proportional to 361,871.56, 499,442.52 and 200,778.52 is: 277,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,871.56 : 499,442.52 = 200,778.52 : x
  2. Step 2: Convert to fraction form
    361,871.56/499,442.52 = 200,778.52/x
  3. Step 3: Cross multiply
    361,871.56x = 499,442.52 × 200,778.52
  4. Step 4: Simplify right side
    361,871.56x = 100,277,329,990.67
  5. Step 5: Solve for x
    x = 100,277,329,990.67/361,871.56
  6. Step 6: Final answer
    x = 277,107.52

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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.