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Finding the Fourth Proportional to 492,965.80, 739,446.30 and 193,234.60

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Solution

The fourth proportional to 492,965.80, 739,446.30 and 193,234.60 is: 289,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,965.80 : 739,446.30 = 193,234.60 : x
  2. Step 2: Convert to fraction form
    492,965.80/739,446.30 = 193,234.60/x
  3. Step 3: Cross multiply
    492,965.80x = 739,446.30 × 193,234.60
  4. Step 4: Simplify right side
    492,965.80x = 142,886,610,001.98
  5. Step 5: Solve for x
    x = 142,886,610,001.98/492,965.80
  6. Step 6: Final answer
    x = 289,850.96

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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.