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Finding the Fourth Proportional to 822,785.44, 1,135,549 and 460,229.44

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Solution

The fourth proportional to 822,785.44, 1,135,549 and 460,229.44 is: 635,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,785.44 : 1,135,549 = 460,229.44 : x
  2. Step 2: Convert to fraction form
    822,785.44/1,135,549 = 460,229.44/x
  3. Step 3: Cross multiply
    822,785.44x = 1,135,549 × 460,229.44
  4. Step 4: Simplify right side
    822,785.44x = 522,613,080,362.56
  5. Step 5: Solve for x
    x = 522,613,080,362.56/822,785.44
  6. Step 6: Final answer
    x = 635,175.41

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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.