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Finding the Fourth Proportional to 295,422.22, 407,680.59 and 161,286.22

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Solution

The fourth proportional to 295,422.22, 407,680.59 and 161,286.22 is: 222,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,422.22 : 407,680.59 = 161,286.22 : x
  2. Step 2: Convert to fraction form
    295,422.22/407,680.59 = 161,286.22/x
  3. Step 3: Cross multiply
    295,422.22x = 407,680.59 × 161,286.22
  4. Step 4: Simplify right side
    295,422.22x = 65,753,261,328.47
  5. Step 5: Solve for x
    x = 65,753,261,328.47/295,422.22
  6. Step 6: Final answer
    x = 222,573.85

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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.