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Finding the Fourth Proportional to 492,296.70, 738,023.81 and 188,908.56

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Solution

The fourth proportional to 492,296.70, 738,023.81 and 188,908.56 is: 283,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,296.70 : 738,023.81 = 188,908.56 : x
  2. Step 2: Convert to fraction form
    492,296.70/738,023.81 = 188,908.56/x
  3. Step 3: Cross multiply
    492,296.70x = 738,023.81 × 188,908.56
  4. Step 4: Simplify right side
    492,296.70x = 139,419,015,665.09
  5. Step 5: Solve for x
    x = 139,419,015,665.09/492,296.70
  6. Step 6: Final answer
    x = 283,201.20

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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.