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Finding the Fourth Proportional to 331,932.92, 458,065.34 and 188,692.96

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Solution

The fourth proportional to 331,932.92, 458,065.34 and 188,692.96 is: 260,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,932.92 : 458,065.34 = 188,692.96 : x
  2. Step 2: Convert to fraction form
    331,932.92/458,065.34 = 188,692.96/x
  3. Step 3: Cross multiply
    331,932.92x = 458,065.34 × 188,692.96
  4. Step 4: Simplify right side
    331,932.92x = 86,433,704,878.01
  5. Step 5: Solve for x
    x = 86,433,704,878.01/331,932.92
  6. Step 6: Final answer
    x = 260,395.10

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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.