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Finding the Fourth Proportional to 361,914.16, 499,440.96 and 200,793.76

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Solution

The fourth proportional to 361,914.16, 499,440.96 and 200,793.76 is: 277,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,914.16 : 499,440.96 = 200,793.76 : x
  2. Step 2: Convert to fraction form
    361,914.16/499,440.96 = 200,793.76/x
  3. Step 3: Cross multiply
    361,914.16x = 499,440.96 × 200,793.76
  4. Step 4: Simplify right side
    361,914.16x = 100,284,628,256.41
  5. Step 5: Solve for x
    x = 100,284,628,256.41/361,914.16
  6. Step 6: Final answer
    x = 277,095.07

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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.