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Finding the Fourth Proportional to 285,383.12, 393,827.72 and 164,523.83

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Solution

The fourth proportional to 285,383.12, 393,827.72 and 164,523.83 is: 227,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,383.12 : 393,827.72 = 164,523.83 : x
  2. Step 2: Convert to fraction form
    285,383.12/393,827.72 = 164,523.83/x
  3. Step 3: Cross multiply
    285,383.12x = 393,827.72 × 164,523.83
  4. Step 4: Simplify right side
    285,383.12x = 64,794,046,250.45
  5. Step 5: Solve for x
    x = 64,794,046,250.45/285,383.12
  6. Step 6: Final answer
    x = 227,042.32

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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.