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Finding the Fourth Proportional to 295,194.44, 407,366.26 and 167,870

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Solution

The fourth proportional to 295,194.44, 407,366.26 and 167,870 is: 231,659.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,194.44 : 407,366.26 = 167,870 : x
  2. Step 2: Convert to fraction form
    295,194.44/407,366.26 = 167,870/x
  3. Step 3: Cross multiply
    295,194.44x = 407,366.26 × 167,870
  4. Step 4: Simplify right side
    295,194.44x = 68,384,574,066.20
  5. Step 5: Solve for x
    x = 68,384,574,066.20/295,194.44
  6. Step 6: Final answer
    x = 231,659.42

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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.