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Finding the Fourth Proportional to 445,033.60, 667,742.40 and 258,204.80

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Solution

The fourth proportional to 445,033.60, 667,742.40 and 258,204.80 is: 387,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,033.60 : 667,742.40 = 258,204.80 : x
  2. Step 2: Convert to fraction form
    445,033.60/667,742.40 = 258,204.80/x
  3. Step 3: Cross multiply
    445,033.60x = 667,742.40 × 258,204.80
  4. Step 4: Simplify right side
    445,033.60x = 172,414,292,843.52
  5. Step 5: Solve for x
    x = 172,414,292,843.52/445,033.60
  6. Step 6: Final answer
    x = 387,418.60

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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.