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Finding the Fourth Proportional to 263,405.80, 395,228.64 and 111,644.47

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Solution

The fourth proportional to 263,405.80, 395,228.64 and 111,644.47 is: 167,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,405.80 : 395,228.64 = 111,644.47 : x
  2. Step 2: Convert to fraction form
    263,405.80/395,228.64 = 111,644.47/x
  3. Step 3: Cross multiply
    263,405.80x = 395,228.64 × 111,644.47
  4. Step 4: Simplify right side
    263,405.80x = 44,125,090,065.48
  5. Step 5: Solve for x
    x = 44,125,090,065.48/263,405.80
  6. Step 6: Final answer
    x = 167,517.54

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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.