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Finding the Fourth Proportional to 299,791.92, 413,714 and 163,825.92

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Solution

The fourth proportional to 299,791.92, 413,714 and 163,825.92 is: 226,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,791.92 : 413,714 = 163,825.92 : x
  2. Step 2: Convert to fraction form
    299,791.92/413,714 = 163,825.92/x
  3. Step 3: Cross multiply
    299,791.92x = 413,714 × 163,825.92
  4. Step 4: Simplify right side
    299,791.92x = 67,777,076,666.88
  5. Step 5: Solve for x
    x = 67,777,076,666.88/299,791.92
  6. Step 6: Final answer
    x = 226,080.40

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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.