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Finding the Fourth Proportional to 285,383.34, 393,828.12 and 164,524.02

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Solution

The fourth proportional to 285,383.34, 393,828.12 and 164,524.02 is: 227,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,383.34 : 393,828.12 = 164,524.02 : x
  2. Step 2: Convert to fraction form
    285,383.34/393,828.12 = 164,524.02/x
  3. Step 3: Cross multiply
    285,383.34x = 393,828.12 × 164,524.02
  4. Step 4: Simplify right side
    285,383.34x = 64,794,185,491.44
  5. Step 5: Solve for x
    x = 64,794,185,491.44/285,383.34
  6. Step 6: Final answer
    x = 227,042.63

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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.