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Finding the Fourth Proportional to 331,893.10, 457,894.38 and 195,858.98

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Solution

The fourth proportional to 331,893.10, 457,894.38 and 195,858.98 is: 270,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,893.10 : 457,894.38 = 195,858.98 : x
  2. Step 2: Convert to fraction form
    331,893.10/457,894.38 = 195,858.98/x
  3. Step 3: Cross multiply
    331,893.10x = 457,894.38 × 195,858.98
  4. Step 4: Simplify right side
    331,893.10x = 89,682,726,214.53
  5. Step 5: Solve for x
    x = 89,682,726,214.53/331,893.10
  6. Step 6: Final answer
    x = 270,215.70

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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.