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Finding the Fourth Proportional to 285,211, 393,694.86 and 165,979

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Solution

The fourth proportional to 285,211, 393,694.86 and 165,979 is: 229,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,211 : 393,694.86 = 165,979 : x
  2. Step 2: Convert to fraction form
    285,211/393,694.86 = 165,979/x
  3. Step 3: Cross multiply
    285,211x = 393,694.86 × 165,979
  4. Step 4: Simplify right side
    285,211x = 65,345,079,167.94
  5. Step 5: Solve for x
    x = 65,345,079,167.94/285,211
  6. Step 6: Final answer
    x = 229,111.36

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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.