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Finding the Fourth Proportional to 395,745.50, 593,610 and 96,227.64

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Solution

The fourth proportional to 395,745.50, 593,610 and 96,227.64 is: 144,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,745.50 : 593,610 = 96,227.64 : x
  2. Step 2: Convert to fraction form
    395,745.50/593,610 = 96,227.64/x
  3. Step 3: Cross multiply
    395,745.50x = 593,610 × 96,227.64
  4. Step 4: Simplify right side
    395,745.50x = 57,121,689,380.40
  5. Step 5: Solve for x
    x = 57,121,689,380.40/395,745.50
  6. Step 6: Final answer
    x = 144,339.46

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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.