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Finding the Fourth Proportional to 297,713.09, 410,841.87 and 161,748.16

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Solution

The fourth proportional to 297,713.09, 410,841.87 and 161,748.16 is: 223,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,713.09 : 410,841.87 = 161,748.16 : x
  2. Step 2: Convert to fraction form
    297,713.09/410,841.87 = 161,748.16/x
  3. Step 3: Cross multiply
    297,713.09x = 410,841.87 × 161,748.16
  4. Step 4: Simplify right side
    297,713.09x = 66,452,914,889.80
  5. Step 5: Solve for x
    x = 66,452,914,889.80/297,713.09
  6. Step 6: Final answer
    x = 223,211.26

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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.