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Finding the Fourth Proportional to 331,973.82, 458,093.10 and 188,705.88

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Solution

The fourth proportional to 331,973.82, 458,093.10 and 188,705.88 is: 260,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,973.82 : 458,093.10 = 188,705.88 : x
  2. Step 2: Convert to fraction form
    331,973.82/458,093.10 = 188,705.88/x
  3. Step 3: Cross multiply
    331,973.82x = 458,093.10 × 188,705.88
  4. Step 4: Simplify right side
    331,973.82x = 86,444,861,557.43
  5. Step 5: Solve for x
    x = 86,444,861,557.43/331,973.82
  6. Step 6: Final answer
    x = 260,396.62

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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.