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Finding the Fourth Proportional to 285,906.27, 428,695.29 and 108,300

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Solution

The fourth proportional to 285,906.27, 428,695.29 and 108,300 is: 162,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,906.27 : 428,695.29 = 108,300 : x
  2. Step 2: Convert to fraction form
    285,906.27/428,695.29 = 108,300/x
  3. Step 3: Cross multiply
    285,906.27x = 428,695.29 × 108,300
  4. Step 4: Simplify right side
    285,906.27x = 46,427,699,907
  5. Step 5: Solve for x
    x = 46,427,699,907/285,906.27
  6. Step 6: Final answer
    x = 162,387.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.