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Finding the Fourth Proportional to 292,614.50, 438,921.75 and 82,252.44

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Solution

The fourth proportional to 292,614.50, 438,921.75 and 82,252.44 is: 123,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,614.50 : 438,921.75 = 82,252.44 : x
  2. Step 2: Convert to fraction form
    292,614.50/438,921.75 = 82,252.44/x
  3. Step 3: Cross multiply
    292,614.50x = 438,921.75 × 82,252.44
  4. Step 4: Simplify right side
    292,614.50x = 36,102,384,906.57
  5. Step 5: Solve for x
    x = 36,102,384,906.57/292,614.50
  6. Step 6: Final answer
    x = 123,378.66

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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.