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Finding the Fourth Proportional to 446,257.97, 669,387.00 and 113,833.97

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Solution

The fourth proportional to 446,257.97, 669,387.00 and 113,833.97 is: 170,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,257.97 : 669,387.00 = 113,833.97 : x
  2. Step 2: Convert to fraction form
    446,257.97/669,387.00 = 113,833.97/x
  3. Step 3: Cross multiply
    446,257.97x = 669,387.00 × 113,833.97
  4. Step 4: Simplify right side
    446,257.97x = 76,198,979,266.53
  5. Step 5: Solve for x
    x = 76,198,979,266.53/446,257.97
  6. Step 6: Final answer
    x = 170,750.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.