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Finding the Fourth Proportional to 394,745.50, 592,216.89 and 114,262.75

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Solution

The fourth proportional to 394,745.50, 592,216.89 and 114,262.75 is: 171,422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,745.50 : 592,216.89 = 114,262.75 : x
  2. Step 2: Convert to fraction form
    394,745.50/592,216.89 = 114,262.75/x
  3. Step 3: Cross multiply
    394,745.50x = 592,216.89 × 114,262.75
  4. Step 4: Simplify right side
    394,745.50x = 67,668,330,759.63
  5. Step 5: Solve for x
    x = 67,668,330,759.63/394,745.50
  6. Step 6: Final answer
    x = 171,422.68

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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.