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Finding the Fourth Proportional to 263,913.30, 395,864.41 and 64,234.80

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Solution

The fourth proportional to 263,913.30, 395,864.41 and 64,234.80 is: 96,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,913.30 : 395,864.41 = 64,234.80 : x
  2. Step 2: Convert to fraction form
    263,913.30/395,864.41 = 64,234.80/x
  3. Step 3: Cross multiply
    263,913.30x = 395,864.41 × 64,234.80
  4. Step 4: Simplify right side
    263,913.30x = 25,428,271,203.47
  5. Step 5: Solve for x
    x = 25,428,271,203.47/263,913.30
  6. Step 6: Final answer
    x = 96,350.85

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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.