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Finding the Fourth Proportional to 567,588.43, 782,458.19 and 446,519.44

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Solution

The fourth proportional to 567,588.43, 782,458.19 and 446,519.44 is: 615,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,588.43 : 782,458.19 = 446,519.44 : x
  2. Step 2: Convert to fraction form
    567,588.43/782,458.19 = 446,519.44/x
  3. Step 3: Cross multiply
    567,588.43x = 782,458.19 × 446,519.44
  4. Step 4: Simplify right side
    567,588.43x = 349,382,790,589.62
  5. Step 5: Solve for x
    x = 349,382,790,589.62/567,588.43
  6. Step 6: Final answer
    x = 615,556.58

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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.