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Finding the Fourth Proportional to 332,584.88, 458,945.96 and 181,682

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Solution

The fourth proportional to 332,584.88, 458,945.96 and 181,682 is: 250,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,584.88 : 458,945.96 = 181,682 : x
  2. Step 2: Convert to fraction form
    332,584.88/458,945.96 = 181,682/x
  3. Step 3: Cross multiply
    332,584.88x = 458,945.96 × 181,682
  4. Step 4: Simplify right side
    332,584.88x = 83,382,219,904.72
  5. Step 5: Solve for x
    x = 83,382,219,904.72/332,584.88
  6. Step 6: Final answer
    x = 250,709.59

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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.