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Finding the Fourth Proportional to 362,507.20, 543,760.80 and 196,619.20

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Solution

The fourth proportional to 362,507.20, 543,760.80 and 196,619.20 is: 294,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,507.20 : 543,760.80 = 196,619.20 : x
  2. Step 2: Convert to fraction form
    362,507.20/543,760.80 = 196,619.20/x
  3. Step 3: Cross multiply
    362,507.20x = 543,760.80 × 196,619.20
  4. Step 4: Simplify right side
    362,507.20x = 106,913,813,487.36
  5. Step 5: Solve for x
    x = 106,913,813,487.36/362,507.20
  6. Step 6: Final answer
    x = 294,928.80

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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.