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Finding the Fourth Proportional to 297,247.88, 410,201.48 and 161,281.76

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Solution

The fourth proportional to 297,247.88, 410,201.48 and 161,281.76 is: 222,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,247.88 : 410,201.48 = 161,281.76 : x
  2. Step 2: Convert to fraction form
    297,247.88/410,201.48 = 161,281.76/x
  3. Step 3: Cross multiply
    297,247.88x = 410,201.48 × 161,281.76
  4. Step 4: Simplify right side
    297,247.88x = 66,158,016,649.00
  5. Step 5: Solve for x
    x = 66,158,016,649.00/297,247.88
  6. Step 6: Final answer
    x = 222,568.51

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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.