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Finding the Fourth Proportional to 462,190.92, 692,843.49 and 195,584.64

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Solution

The fourth proportional to 462,190.92, 692,843.49 and 195,584.64 is: 293,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,190.92 : 692,843.49 = 195,584.64 : x
  2. Step 2: Convert to fraction form
    462,190.92/692,843.49 = 195,584.64/x
  3. Step 3: Cross multiply
    462,190.92x = 692,843.49 × 195,584.64
  4. Step 4: Simplify right side
    462,190.92x = 135,509,544,567.99
  5. Step 5: Solve for x
    x = 135,509,544,567.99/462,190.92
  6. Step 6: Final answer
    x = 293,189.54

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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.