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Finding the Fourth Proportional to 542,820.92, 814,236.64 and 205,771

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Solution

The fourth proportional to 542,820.92, 814,236.64 and 205,771 is: 308,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,820.92 : 814,236.64 = 205,771 : x
  2. Step 2: Convert to fraction form
    542,820.92/814,236.64 = 205,771/x
  3. Step 3: Cross multiply
    542,820.92x = 814,236.64 × 205,771
  4. Step 4: Simplify right side
    542,820.92x = 167,546,287,649.44
  5. Step 5: Solve for x
    x = 167,546,287,649.44/542,820.92
  6. Step 6: Final answer
    x = 308,658.49

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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.