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Finding the Fourth Proportional to 542,993.22, 749,297.97 and 301,261.41

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Solution

The fourth proportional to 542,993.22, 749,297.97 and 301,261.41 is: 415,722.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,993.22 : 749,297.97 = 301,261.41 : x
  2. Step 2: Convert to fraction form
    542,993.22/749,297.97 = 301,261.41/x
  3. Step 3: Cross multiply
    542,993.22x = 749,297.97 × 301,261.41
  4. Step 4: Simplify right side
    542,993.22x = 225,734,562,952.34
  5. Step 5: Solve for x
    x = 225,734,562,952.34/542,993.22
  6. Step 6: Final answer
    x = 415,722.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.