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Finding the Fourth Proportional to 516,704.76, 774,906.48 and 201,086.64

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Solution

The fourth proportional to 516,704.76, 774,906.48 and 201,086.64 is: 301,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,704.76 : 774,906.48 = 201,086.64 : x
  2. Step 2: Convert to fraction form
    516,704.76/774,906.48 = 201,086.64/x
  3. Step 3: Cross multiply
    516,704.76x = 774,906.48 × 201,086.64
  4. Step 4: Simplify right side
    516,704.76x = 155,823,340,377.43
  5. Step 5: Solve for x
    x = 155,823,340,377.43/516,704.76
  6. Step 6: Final answer
    x = 301,571.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.