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Finding the Fourth Proportional to 408,644.06, 612,941.18 and 195,563.43

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Solution

The fourth proportional to 408,644.06, 612,941.18 and 195,563.43 is: 293,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,644.06 : 612,941.18 = 195,563.43 : x
  2. Step 2: Convert to fraction form
    408,644.06/612,941.18 = 195,563.43/x
  3. Step 3: Cross multiply
    408,644.06x = 612,941.18 × 195,563.43
  4. Step 4: Simplify right side
    408,644.06x = 119,868,878,571.23
  5. Step 5: Solve for x
    x = 119,868,878,571.23/408,644.06
  6. Step 6: Final answer
    x = 293,333.23

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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.