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Finding the Fourth Proportional to 393,847.56, 543,485.70 and 232,664.04

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Solution

The fourth proportional to 393,847.56, 543,485.70 and 232,664.04 is: 321,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,847.56 : 543,485.70 = 232,664.04 : x
  2. Step 2: Convert to fraction form
    393,847.56/543,485.70 = 232,664.04/x
  3. Step 3: Cross multiply
    393,847.56x = 543,485.70 × 232,664.04
  4. Step 4: Simplify right side
    393,847.56x = 126,449,578,644.23
  5. Step 5: Solve for x
    x = 126,449,578,644.23/393,847.56
  6. Step 6: Final answer
    x = 321,062.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.