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Finding the Fourth Proportional to 395,571.92, 593,314.31 and 111,271.48

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Solution

The fourth proportional to 395,571.92, 593,314.31 and 111,271.48 is: 166,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,571.92 : 593,314.31 = 111,271.48 : x
  2. Step 2: Convert to fraction form
    395,571.92/593,314.31 = 111,271.48/x
  3. Step 3: Cross multiply
    395,571.92x = 593,314.31 × 111,271.48
  4. Step 4: Simplify right side
    395,571.92x = 66,018,963,563.14
  5. Step 5: Solve for x
    x = 66,018,963,563.14/395,571.92
  6. Step 6: Final answer
    x = 166,894.97

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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.