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Finding the Fourth Proportional to 297,525.54, 446,288.31 and 87,163.48

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Solution

The fourth proportional to 297,525.54, 446,288.31 and 87,163.48 is: 130,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,525.54 : 446,288.31 = 87,163.48 : x
  2. Step 2: Convert to fraction form
    297,525.54/446,288.31 = 87,163.48/x
  3. Step 3: Cross multiply
    297,525.54x = 446,288.31 × 87,163.48
  4. Step 4: Simplify right side
    297,525.54x = 38,900,042,182.92
  5. Step 5: Solve for x
    x = 38,900,042,182.92/297,525.54
  6. Step 6: Final answer
    x = 130,745.22

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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.