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Finding the Fourth Proportional to 542,638.69, 813,847.20 and 205,563.13

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Solution

The fourth proportional to 542,638.69, 813,847.20 and 205,563.13 is: 308,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,638.69 : 813,847.20 = 205,563.13 : x
  2. Step 2: Convert to fraction form
    542,638.69/813,847.20 = 205,563.13/x
  3. Step 3: Cross multiply
    542,638.69x = 813,847.20 × 205,563.13
  4. Step 4: Simplify right side
    542,638.69x = 167,296,977,773.74
  5. Step 5: Solve for x
    x = 167,296,977,773.74/542,638.69
  6. Step 6: Final answer
    x = 308,302.71

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Why These Related Problems?

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