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Finding the Fourth Proportional to 395,891.68, 593,721.42 and 111,563.32

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Solution

The fourth proportional to 395,891.68, 593,721.42 and 111,563.32 is: 167,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,891.68 : 593,721.42 = 111,563.32 : x
  2. Step 2: Convert to fraction form
    395,891.68/593,721.42 = 111,563.32/x
  3. Step 3: Cross multiply
    395,891.68x = 593,721.42 × 111,563.32
  4. Step 4: Simplify right side
    395,891.68x = 66,237,532,770.31
  5. Step 5: Solve for x
    x = 66,237,532,770.31/395,891.68
  6. Step 6: Final answer
    x = 167,312.26

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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.