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Finding the Fourth Proportional to 299,612.52, 413,631.36 and 204,259.32

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Solution

The fourth proportional to 299,612.52, 413,631.36 and 204,259.32 is: 281,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,612.52 : 413,631.36 = 204,259.32 : x
  2. Step 2: Convert to fraction form
    299,612.52/413,631.36 = 204,259.32/x
  3. Step 3: Cross multiply
    299,612.52x = 413,631.36 × 204,259.32
  4. Step 4: Simplify right side
    299,612.52x = 84,488,060,324.28
  5. Step 5: Solve for x
    x = 84,488,060,324.28/299,612.52
  6. Step 6: Final answer
    x = 281,991.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.