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Finding the Fourth Proportional to 263,897.44, 395,846.22 and 64,218

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Solution

The fourth proportional to 263,897.44, 395,846.22 and 64,218 is: 96,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,897.44 : 395,846.22 = 64,218 : x
  2. Step 2: Convert to fraction form
    263,897.44/395,846.22 = 64,218/x
  3. Step 3: Cross multiply
    263,897.44x = 395,846.22 × 64,218
  4. Step 4: Simplify right side
    263,897.44x = 25,420,452,555.96
  5. Step 5: Solve for x
    x = 25,420,452,555.96/263,897.44
  6. Step 6: Final answer
    x = 96,327.01

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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.