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Finding the Fourth Proportional to 290,958.96, 401,295.39 and 199,132.56

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Solution

The fourth proportional to 290,958.96, 401,295.39 and 199,132.56 is: 274,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,958.96 : 401,295.39 = 199,132.56 : x
  2. Step 2: Convert to fraction form
    290,958.96/401,295.39 = 199,132.56/x
  3. Step 3: Cross multiply
    290,958.96x = 401,295.39 × 199,132.56
  4. Step 4: Simplify right side
    290,958.96x = 79,910,978,326.90
  5. Step 5: Solve for x
    x = 79,910,978,326.90/290,958.96
  6. Step 6: Final answer
    x = 274,646.91

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1.5x scale

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.