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Finding the Fourth Proportional to 361,932.70, 499,467.70 and 200,787.74

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Solution

The fourth proportional to 361,932.70, 499,467.70 and 200,787.74 is: 277,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,932.70 : 499,467.70 = 200,787.74 : x
  2. Step 2: Convert to fraction form
    361,932.70/499,467.70 = 200,787.74/x
  3. Step 3: Cross multiply
    361,932.70x = 499,467.70 × 200,787.74
  4. Step 4: Simplify right side
    361,932.70x = 100,286,990,686.00
  5. Step 5: Solve for x
    x = 100,286,990,686.00/361,932.70
  6. Step 6: Final answer
    x = 277,087.40

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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.