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Finding the Fourth Proportional to 298,217.46, 447,311.60 and 111,214.38

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Solution

The fourth proportional to 298,217.46, 447,311.60 and 111,214.38 is: 166,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,217.46 : 447,311.60 = 111,214.38 : x
  2. Step 2: Convert to fraction form
    298,217.46/447,311.60 = 111,214.38/x
  3. Step 3: Cross multiply
    298,217.46x = 447,311.60 × 111,214.38
  4. Step 4: Simplify right side
    298,217.46x = 49,747,480,302.29
  5. Step 5: Solve for x
    x = 49,747,480,302.29/298,217.46
  6. Step 6: Final answer
    x = 166,816.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.