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Finding the Fourth Proportional to 298,294.26, 411,553.38 and 169,211.46

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Solution

The fourth proportional to 298,294.26, 411,553.38 and 169,211.46 is: 233,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,294.26 : 411,553.38 = 169,211.46 : x
  2. Step 2: Convert to fraction form
    298,294.26/411,553.38 = 169,211.46/x
  3. Step 3: Cross multiply
    298,294.26x = 411,553.38 × 169,211.46
  4. Step 4: Simplify right side
    298,294.26x = 69,639,548,297.73
  5. Step 5: Solve for x
    x = 69,639,548,297.73/298,294.26
  6. Step 6: Final answer
    x = 233,459.23

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1.5x scale

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.