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Finding the Fourth Proportional to 299,436.26, 413,291.53 and 197,480.14

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Solution

The fourth proportional to 299,436.26, 413,291.53 and 197,480.14 is: 272,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,436.26 : 413,291.53 = 197,480.14 : x
  2. Step 2: Convert to fraction form
    299,436.26/413,291.53 = 197,480.14/x
  3. Step 3: Cross multiply
    299,436.26x = 413,291.53 × 197,480.14
  4. Step 4: Simplify right side
    299,436.26x = 81,616,869,205.21
  5. Step 5: Solve for x
    x = 81,616,869,205.21/299,436.26
  6. Step 6: Final answer
    x = 272,568.42

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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.