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Finding the Fourth Proportional to 290,961.78, 401,512.59 and 163,629.78

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Solution

The fourth proportional to 290,961.78, 401,512.59 and 163,629.78 is: 225,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,961.78 : 401,512.59 = 163,629.78 : x
  2. Step 2: Convert to fraction form
    290,961.78/401,512.59 = 163,629.78/x
  3. Step 3: Cross multiply
    290,961.78x = 401,512.59 × 163,629.78
  4. Step 4: Simplify right side
    290,961.78x = 65,699,416,768.93
  5. Step 5: Solve for x
    x = 65,699,416,768.93/290,961.78
  6. Step 6: Final answer
    x = 225,800.85

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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.