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Finding the Fourth Proportional to 299,792.27, 413,708.27 and 163,823.24

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Solution

The fourth proportional to 299,792.27, 413,708.27 and 163,823.24 is: 226,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,792.27 : 413,708.27 = 163,823.24 : x
  2. Step 2: Convert to fraction form
    299,792.27/413,708.27 = 163,823.24/x
  3. Step 3: Cross multiply
    299,792.27x = 413,708.27 × 163,823.24
  4. Step 4: Simplify right side
    299,792.27x = 67,775,026,318.54
  5. Step 5: Solve for x
    x = 67,775,026,318.54/299,792.27
  6. Step 6: Final answer
    x = 226,073.30

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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.