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Finding the Fourth Proportional to 490,204.68, 735,936.72 and 377,956.20

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Solution

The fourth proportional to 490,204.68, 735,936.72 and 377,956.20 is: 567,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,204.68 : 735,936.72 = 377,956.20 : x
  2. Step 2: Convert to fraction form
    490,204.68/735,936.72 = 377,956.20/x
  3. Step 3: Cross multiply
    490,204.68x = 735,936.72 × 377,956.20
  4. Step 4: Simplify right side
    490,204.68x = 278,151,846,131.66
  5. Step 5: Solve for x
    x = 278,151,846,131.66/490,204.68
  6. Step 6: Final answer
    x = 567,419.81

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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.