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Finding the Fourth Proportional to 285,857.30, 394,430.92 and 164,954.48

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Solution

The fourth proportional to 285,857.30, 394,430.92 and 164,954.48 is: 227,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,857.30 : 394,430.92 = 164,954.48 : x
  2. Step 2: Convert to fraction form
    285,857.30/394,430.92 = 164,954.48/x
  3. Step 3: Cross multiply
    285,857.30x = 394,430.92 × 164,954.48
  4. Step 4: Simplify right side
    285,857.30x = 65,063,144,919.98
  5. Step 5: Solve for x
    x = 65,063,144,919.98/285,857.30
  6. Step 6: Final answer
    x = 227,607.08

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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.