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Finding the Fourth Proportional to 401,006.92, 601,383.19 and 131,074.02

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Solution

The fourth proportional to 401,006.92, 601,383.19 and 131,074.02 is: 196,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,006.92 : 601,383.19 = 131,074.02 : x
  2. Step 2: Convert to fraction form
    401,006.92/601,383.19 = 131,074.02/x
  3. Step 3: Cross multiply
    401,006.92x = 601,383.19 × 131,074.02
  4. Step 4: Simplify right side
    401,006.92x = 78,825,712,273.72
  5. Step 5: Solve for x
    x = 78,825,712,273.72/401,006.92
  6. Step 6: Final answer
    x = 196,569.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.