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Finding the Fourth Proportional to 298,641.26, 447,956.22 and 74,002.16

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Solution

The fourth proportional to 298,641.26, 447,956.22 and 74,002.16 is: 111,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,641.26 : 447,956.22 = 74,002.16 : x
  2. Step 2: Convert to fraction form
    298,641.26/447,956.22 = 74,002.16/x
  3. Step 3: Cross multiply
    298,641.26x = 447,956.22 × 74,002.16
  4. Step 4: Simplify right side
    298,641.26x = 33,149,727,865.44
  5. Step 5: Solve for x
    x = 33,149,727,865.44/298,641.26
  6. Step 6: Final answer
    x = 111,001.83

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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.