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Finding the Fourth Proportional to 295,471.32, 407,755.38 and 161,335.32

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Solution

The fourth proportional to 295,471.32, 407,755.38 and 161,335.32 is: 222,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,471.32 : 407,755.38 = 161,335.32 : x
  2. Step 2: Convert to fraction form
    295,471.32/407,755.38 = 161,335.32/x
  3. Step 3: Cross multiply
    295,471.32x = 407,755.38 × 161,335.32
  4. Step 4: Simplify right side
    295,471.32x = 65,785,344,714.02
  5. Step 5: Solve for x
    x = 65,785,344,714.02/295,471.32
  6. Step 6: Final answer
    x = 222,645.45

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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.