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Finding the Fourth Proportional to 461,912.04, 693,241.26 and 195,859.38

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Solution

The fourth proportional to 461,912.04, 693,241.26 and 195,859.38 is: 293,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,912.04 : 693,241.26 = 195,859.38 : x
  2. Step 2: Convert to fraction form
    461,912.04/693,241.26 = 195,859.38/x
  3. Step 3: Cross multiply
    461,912.04x = 693,241.26 × 195,859.38
  4. Step 4: Simplify right side
    461,912.04x = 135,777,803,374.02
  5. Step 5: Solve for x
    x = 135,777,803,374.02/461,912.04
  6. Step 6: Final answer
    x = 293,947.31

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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.