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Finding the Fourth Proportional to 301,299.31, 415,987.82 and 186,699.56

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Solution

The fourth proportional to 301,299.31, 415,987.82 and 186,699.56 is: 257,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,299.31 : 415,987.82 = 186,699.56 : x
  2. Step 2: Convert to fraction form
    301,299.31/415,987.82 = 186,699.56/x
  3. Step 3: Cross multiply
    301,299.31x = 415,987.82 × 186,699.56
  4. Step 4: Simplify right side
    301,299.31x = 77,664,745,596.12
  5. Step 5: Solve for x
    x = 77,664,745,596.12/301,299.31
  6. Step 6: Final answer
    x = 257,766.09

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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.