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Finding the Fourth Proportional to 496,049.96, 743,638.34 and 196,740.68

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Solution

The fourth proportional to 496,049.96, 743,638.34 and 196,740.68 is: 294,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,049.96 : 743,638.34 = 196,740.68 : x
  2. Step 2: Convert to fraction form
    496,049.96/743,638.34 = 196,740.68/x
  3. Step 3: Cross multiply
    496,049.96x = 743,638.34 × 196,740.68
  4. Step 4: Simplify right side
    496,049.96x = 146,303,912,685.67
  5. Step 5: Solve for x
    x = 146,303,912,685.67/496,049.96
  6. Step 6: Final answer
    x = 294,937.86

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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.