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Finding the Fourth Proportional to 492,601.66, 738,945.54 and 137,616.70

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Solution

The fourth proportional to 492,601.66, 738,945.54 and 137,616.70 is: 206,437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,601.66 : 738,945.54 = 137,616.70 : x
  2. Step 2: Convert to fraction form
    492,601.66/738,945.54 = 137,616.70/x
  3. Step 3: Cross multiply
    492,601.66x = 738,945.54 × 137,616.70
  4. Step 4: Simplify right side
    492,601.66x = 101,691,244,847.15
  5. Step 5: Solve for x
    x = 101,691,244,847.15/492,601.66
  6. Step 6: Final answer
    x = 206,437.07

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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.