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Finding the Fourth Proportional to 462,241.06, 693,396.44 and 138,003.48

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Solution

The fourth proportional to 462,241.06, 693,396.44 and 138,003.48 is: 207,015.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,241.06 : 693,396.44 = 138,003.48 : x
  2. Step 2: Convert to fraction form
    462,241.06/693,396.44 = 138,003.48/x
  3. Step 3: Cross multiply
    462,241.06x = 693,396.44 × 138,003.48
  4. Step 4: Simplify right side
    462,241.06x = 95,691,121,739.61
  5. Step 5: Solve for x
    x = 95,691,121,739.61/462,241.06
  6. Step 6: Final answer
    x = 207,015.63

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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.