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Finding the Fourth Proportional to 299,434, 413,219.28 and 165,298

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Solution

The fourth proportional to 299,434, 413,219.28 and 165,298 is: 228,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,434 : 413,219.28 = 165,298 : x
  2. Step 2: Convert to fraction form
    299,434/413,219.28 = 165,298/x
  3. Step 3: Cross multiply
    299,434x = 413,219.28 × 165,298
  4. Step 4: Simplify right side
    299,434x = 68,304,320,545.44
  5. Step 5: Solve for x
    x = 68,304,320,545.44/299,434
  6. Step 6: Final answer
    x = 228,111.44

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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.