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Finding the Fourth Proportional to 322,786.25, 445,499.07 and 186,796.76

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Solution

The fourth proportional to 322,786.25, 445,499.07 and 186,796.76 is: 257,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,786.25 : 445,499.07 = 186,796.76 : x
  2. Step 2: Convert to fraction form
    322,786.25/445,499.07 = 186,796.76/x
  3. Step 3: Cross multiply
    322,786.25x = 445,499.07 × 186,796.76
  4. Step 4: Simplify right side
    322,786.25x = 83,217,782,859.01
  5. Step 5: Solve for x
    x = 83,217,782,859.01/322,786.25
  6. Step 6: Final answer
    x = 257,810.81

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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.