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Finding the Fourth Proportional to 404,104.60, 606,524.10 and 204,563.80

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Solution

The fourth proportional to 404,104.60, 606,524.10 and 204,563.80 is: 307,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,104.60 : 606,524.10 = 204,563.80 : x
  2. Step 2: Convert to fraction form
    404,104.60/606,524.10 = 204,563.80/x
  3. Step 3: Cross multiply
    404,104.60x = 606,524.10 × 204,563.80
  4. Step 4: Simplify right side
    404,104.60x = 124,072,874,687.58
  5. Step 5: Solve for x
    x = 124,072,874,687.58/404,104.60
  6. Step 6: Final answer
    x = 307,031.58

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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.