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Finding the Fourth Proportional to 299,782.26, 413,723.11 and 170,726.19

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Solution

The fourth proportional to 299,782.26, 413,723.11 and 170,726.19 is: 235,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,782.26 : 413,723.11 = 170,726.19 : x
  2. Step 2: Convert to fraction form
    299,782.26/413,723.11 = 170,726.19/x
  3. Step 3: Cross multiply
    299,782.26x = 413,723.11 × 170,726.19
  4. Step 4: Simplify right side
    299,782.26x = 70,633,370,285.25
  5. Step 5: Solve for x
    x = 70,633,370,285.25/299,782.26
  6. Step 6: Final answer
    x = 235,615.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.