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Finding the Fourth Proportional to 472,997.73, 709,074.76 and 173,408.50

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Solution

The fourth proportional to 472,997.73, 709,074.76 and 173,408.50 is: 259,958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,997.73 : 709,074.76 = 173,408.50 : x
  2. Step 2: Convert to fraction form
    472,997.73/709,074.76 = 173,408.50/x
  3. Step 3: Cross multiply
    472,997.73x = 709,074.76 × 173,408.50
  4. Step 4: Simplify right side
    472,997.73x = 122,959,587,308.88
  5. Step 5: Solve for x
    x = 122,959,587,308.88/472,997.73
  6. Step 6: Final answer
    x = 259,958.09

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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.