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Finding the Fourth Proportional to 312,993.96, 431,865.18 and 185,710.92

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Solution

The fourth proportional to 312,993.96, 431,865.18 and 185,710.92 is: 256,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,993.96 : 431,865.18 = 185,710.92 : x
  2. Step 2: Convert to fraction form
    312,993.96/431,865.18 = 185,710.92/x
  3. Step 3: Cross multiply
    312,993.96x = 431,865.18 × 185,710.92
  4. Step 4: Simplify right side
    312,993.96x = 80,202,079,893.77
  5. Step 5: Solve for x
    x = 80,202,079,893.77/312,993.96
  6. Step 6: Final answer
    x = 256,241.62

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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.