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Finding the Fourth Proportional to 410,967.62, 616,449.90 and 111,447.44

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Solution

The fourth proportional to 410,967.62, 616,449.90 and 111,447.44 is: 167,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,967.62 : 616,449.90 = 111,447.44 : x
  2. Step 2: Convert to fraction form
    410,967.62/616,449.90 = 111,447.44/x
  3. Step 3: Cross multiply
    410,967.62x = 616,449.90 × 111,447.44
  4. Step 4: Simplify right side
    410,967.62x = 68,701,763,243.26
  5. Step 5: Solve for x
    x = 68,701,763,243.26/410,967.62
  6. Step 6: Final answer
    x = 167,170.75

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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.