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Finding the Fourth Proportional to 471,997.41, 651,333.78 and 268,021.37

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Solution

The fourth proportional to 471,997.41, 651,333.78 and 268,021.37 is: 369,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,997.41 : 651,333.78 = 268,021.37 : x
  2. Step 2: Convert to fraction form
    471,997.41/651,333.78 = 268,021.37/x
  3. Step 3: Cross multiply
    471,997.41x = 651,333.78 × 268,021.37
  4. Step 4: Simplify right side
    471,997.41x = 174,571,368,786.21
  5. Step 5: Solve for x
    x = 174,571,368,786.21/471,997.41
  6. Step 6: Final answer
    x = 369,856.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.