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Finding the Fourth Proportional to 298,233.26, 447,211.64 and 111,194.54

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Solution

The fourth proportional to 298,233.26, 447,211.64 and 111,194.54 is: 166,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,233.26 : 447,211.64 = 111,194.54 : x
  2. Step 2: Convert to fraction form
    298,233.26/447,211.64 = 111,194.54/x
  3. Step 3: Cross multiply
    298,233.26x = 447,211.64 × 111,194.54
  4. Step 4: Simplify right side
    298,233.26x = 49,727,492,592.45
  5. Step 5: Solve for x
    x = 49,727,492,592.45/298,233.26
  6. Step 6: Final answer
    x = 166,740.26

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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.