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Finding the Fourth Proportional to 299,788.26, 413,731.39 and 170,732.18

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Solution

The fourth proportional to 299,788.26, 413,731.39 and 170,732.18 is: 235,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,788.26 : 413,731.39 = 170,732.18 : x
  2. Step 2: Convert to fraction form
    299,788.26/413,731.39 = 170,732.18/x
  3. Step 3: Cross multiply
    299,788.26x = 413,731.39 × 170,732.18
  4. Step 4: Simplify right side
    299,788.26x = 70,637,262,149.13
  5. Step 5: Solve for x
    x = 70,637,262,149.13/299,788.26
  6. Step 6: Final answer
    x = 235,623.84

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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.