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Finding the Fourth Proportional to 290,691.36, 401,158.80 and 159,874.38

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Solution

The fourth proportional to 290,691.36, 401,158.80 and 159,874.38 is: 220,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,691.36 : 401,158.80 = 159,874.38 : x
  2. Step 2: Convert to fraction form
    290,691.36/401,158.80 = 159,874.38/x
  3. Step 3: Cross multiply
    290,691.36x = 401,158.80 × 159,874.38
  4. Step 4: Simplify right side
    290,691.36x = 64,135,014,431.54
  5. Step 5: Solve for x
    x = 64,135,014,431.54/290,691.36
  6. Step 6: Final answer
    x = 220,629.24

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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.