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Finding the Fourth Proportional to 492,455.27, 739,015.31 and 192,898.71

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Solution

The fourth proportional to 492,455.27, 739,015.31 and 192,898.71 is: 289,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,455.27 : 739,015.31 = 192,898.71 : x
  2. Step 2: Convert to fraction form
    492,455.27/739,015.31 = 192,898.71/x
  3. Step 3: Cross multiply
    492,455.27x = 739,015.31 × 192,898.71
  4. Step 4: Simplify right side
    492,455.27x = 142,555,100,451.50
  5. Step 5: Solve for x
    x = 142,555,100,451.50/492,455.27
  6. Step 6: Final answer
    x = 289,478.27

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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.