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Finding the Fourth Proportional to 361,904.70, 499,444.86 and 200,759.85

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Solution

The fourth proportional to 361,904.70, 499,444.86 and 200,759.85 is: 277,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,904.70 : 499,444.86 = 200,759.85 : x
  2. Step 2: Convert to fraction form
    361,904.70/499,444.86 = 200,759.85/x
  3. Step 3: Cross multiply
    361,904.70x = 499,444.86 × 200,759.85
  4. Step 4: Simplify right side
    361,904.70x = 100,268,475,176.87
  5. Step 5: Solve for x
    x = 100,268,475,176.87/361,904.70
  6. Step 6: Final answer
    x = 277,057.68

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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.