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Finding the Fourth Proportional to 492,601.70, 738,355.80 and 192,982.70

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Solution

The fourth proportional to 492,601.70, 738,355.80 and 192,982.70 is: 289,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,601.70 : 738,355.80 = 192,982.70 : x
  2. Step 2: Convert to fraction form
    492,601.70/738,355.80 = 192,982.70/x
  3. Step 3: Cross multiply
    492,601.70x = 738,355.80 × 192,982.70
  4. Step 4: Simplify right side
    492,601.70x = 142,489,895,844.66
  5. Step 5: Solve for x
    x = 142,489,895,844.66/492,601.70
  6. Step 6: Final answer
    x = 289,259.85

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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.