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Finding the Fourth Proportional to 297,504.46, 410,454.77 and 190,136.43

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Solution

The fourth proportional to 297,504.46, 410,454.77 and 190,136.43 is: 262,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,504.46 : 410,454.77 = 190,136.43 : x
  2. Step 2: Convert to fraction form
    297,504.46/410,454.77 = 190,136.43/x
  3. Step 3: Cross multiply
    297,504.46x = 410,454.77 × 190,136.43
  4. Step 4: Simplify right side
    297,504.46x = 78,042,405,889.21
  5. Step 5: Solve for x
    x = 78,042,405,889.21/297,504.46
  6. Step 6: Final answer
    x = 262,323.48

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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.