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Finding the Fourth Proportional to 297,185.26, 410,114.28 and 161,219.29

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Solution

The fourth proportional to 297,185.26, 410,114.28 and 161,219.29 is: 222,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,185.26 : 410,114.28 = 161,219.29 : x
  2. Step 2: Convert to fraction form
    297,185.26/410,114.28 = 161,219.29/x
  3. Step 3: Cross multiply
    297,185.26x = 410,114.28 × 161,219.29
  4. Step 4: Simplify right side
    297,185.26x = 66,118,333,040.46
  5. Step 5: Solve for x
    x = 66,118,333,040.46/297,185.26
  6. Step 6: Final answer
    x = 222,481.87

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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.