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Finding the Fourth Proportional to 290,912.93, 401,458.62 and 161,863.76

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Solution

The fourth proportional to 290,912.93, 401,458.62 and 161,863.76 is: 223,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,912.93 : 401,458.62 = 161,863.76 : x
  2. Step 2: Convert to fraction form
    290,912.93/401,458.62 = 161,863.76/x
  3. Step 3: Cross multiply
    290,912.93x = 401,458.62 × 161,863.76
  4. Step 4: Simplify right side
    290,912.93x = 64,981,601,717.61
  5. Step 5: Solve for x
    x = 64,981,601,717.61/290,912.93
  6. Step 6: Final answer
    x = 223,371.31

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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.