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Finding the Fourth Proportional to 363,829.12, 498,447.70 and 350,193

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Solution

The fourth proportional to 363,829.12, 498,447.70 and 350,193 is: 479,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,829.12 : 498,447.70 = 350,193 : x
  2. Step 2: Convert to fraction form
    363,829.12/498,447.70 = 350,193/x
  3. Step 3: Cross multiply
    363,829.12x = 498,447.70 × 350,193
  4. Step 4: Simplify right side
    363,829.12x = 174,552,894,530.62
  5. Step 5: Solve for x
    x = 174,552,894,530.62/363,829.12
  6. Step 6: Final answer
    x = 479,766.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.