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Finding the Fourth Proportional to 492,344.96, 738,221.67 and 192,468.38

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Solution

The fourth proportional to 492,344.96, 738,221.67 and 192,468.38 is: 288,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,344.96 : 738,221.67 = 192,468.38 : x
  2. Step 2: Convert to fraction form
    492,344.96/738,221.67 = 192,468.38/x
  3. Step 3: Cross multiply
    492,344.96x = 738,221.67 × 192,468.38
  4. Step 4: Simplify right side
    492,344.96x = 142,084,325,214.69
  5. Step 5: Solve for x
    x = 142,084,325,214.69/492,344.96
  6. Step 6: Final answer
    x = 288,586.94

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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.