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Finding the Fourth Proportional to 298,264.26, 411,611.56 and 169,211.38

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Solution

The fourth proportional to 298,264.26, 411,611.56 and 169,211.38 is: 233,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,264.26 : 411,611.56 = 169,211.38 : x
  2. Step 2: Convert to fraction form
    298,264.26/411,611.56 = 169,211.38/x
  3. Step 3: Cross multiply
    298,264.26x = 411,611.56 × 169,211.38
  4. Step 4: Simplify right side
    298,264.26x = 69,649,360,091.55
  5. Step 5: Solve for x
    x = 69,649,360,091.55/298,264.26
  6. Step 6: Final answer
    x = 233,515.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.