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Finding the Fourth Proportional to 361,906.48, 499,428.96 and 200,759.80

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Solution

The fourth proportional to 361,906.48, 499,428.96 and 200,759.80 is: 277,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,906.48 : 499,428.96 = 200,759.80 : x
  2. Step 2: Convert to fraction form
    361,906.48/499,428.96 = 200,759.80/x
  3. Step 3: Cross multiply
    361,906.48x = 499,428.96 × 200,759.80
  4. Step 4: Simplify right side
    361,906.48x = 100,265,258,123.81
  5. Step 5: Solve for x
    x = 100,265,258,123.81/361,906.48
  6. Step 6: Final answer
    x = 277,047.42

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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.