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Finding the Fourth Proportional to 395,923.75, 593,984.65 and 115,441

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Solution

The fourth proportional to 395,923.75, 593,984.65 and 115,441 is: 173,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,923.75 : 593,984.65 = 115,441 : x
  2. Step 2: Convert to fraction form
    395,923.75/593,984.65 = 115,441/x
  3. Step 3: Cross multiply
    395,923.75x = 593,984.65 × 115,441
  4. Step 4: Simplify right side
    395,923.75x = 68,570,181,692.05
  5. Step 5: Solve for x
    x = 68,570,181,692.05/395,923.75
  6. Step 6: Final answer
    x = 173,190.37

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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.