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Finding the Fourth Proportional to 298,452.56, 447,863.16 and 120,961.04

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Solution

The fourth proportional to 298,452.56, 447,863.16 and 120,961.04 is: 181,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,452.56 : 447,863.16 = 120,961.04 : x
  2. Step 2: Convert to fraction form
    298,452.56/447,863.16 = 120,961.04/x
  3. Step 3: Cross multiply
    298,452.56x = 447,863.16 × 120,961.04
  4. Step 4: Simplify right side
    298,452.56x = 54,173,993,611.29
  5. Step 5: Solve for x
    x = 54,173,993,611.29/298,452.56
  6. Step 6: Final answer
    x = 181,516.26

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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.