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Finding the Fourth Proportional to 295,480.48, 407,764.56 and 161,344.48

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Solution

The fourth proportional to 295,480.48, 407,764.56 and 161,344.48 is: 222,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,480.48 : 407,764.56 = 161,344.48 : x
  2. Step 2: Convert to fraction form
    295,480.48/407,764.56 = 161,344.48/x
  3. Step 3: Cross multiply
    295,480.48x = 407,764.56 × 161,344.48
  4. Step 4: Simplify right side
    295,480.48x = 65,790,560,895.63
  5. Step 5: Solve for x
    x = 65,790,560,895.63/295,480.48
  6. Step 6: Final answer
    x = 222,656.20

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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.