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Finding the Fourth Proportional to 322,216.56, 444,558.74 and 186,200.96

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Solution

The fourth proportional to 322,216.56, 444,558.74 and 186,200.96 is: 256,899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,216.56 : 444,558.74 = 186,200.96 : x
  2. Step 2: Convert to fraction form
    322,216.56/444,558.74 = 186,200.96/x
  3. Step 3: Cross multiply
    322,216.56x = 444,558.74 × 186,200.96
  4. Step 4: Simplify right side
    322,216.56x = 82,777,261,010.59
  5. Step 5: Solve for x
    x = 82,777,261,010.59/322,216.56
  6. Step 6: Final answer
    x = 256,899.46

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1.5x scale

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.