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Finding the Fourth Proportional to 295,540.56, 407,845.92 and 161,404.56

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Solution

The fourth proportional to 295,540.56, 407,845.92 and 161,404.56 is: 222,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,540.56 : 407,845.92 = 161,404.56 : x
  2. Step 2: Convert to fraction form
    295,540.56/407,845.92 = 161,404.56/x
  3. Step 3: Cross multiply
    295,540.56x = 407,845.92 × 161,404.56
  4. Step 4: Simplify right side
    295,540.56x = 65,828,191,265.40
  5. Step 5: Solve for x
    x = 65,828,191,265.40/295,540.56
  6. Step 6: Final answer
    x = 222,738.26

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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.