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Finding the Fourth Proportional to 422,033.33, 582,420.68 and 231,048.08

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Solution

The fourth proportional to 422,033.33, 582,420.68 and 231,048.08 is: 318,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,033.33 : 582,420.68 = 231,048.08 : x
  2. Step 2: Convert to fraction form
    422,033.33/582,420.68 = 231,048.08/x
  3. Step 3: Cross multiply
    422,033.33x = 582,420.68 × 231,048.08
  4. Step 4: Simplify right side
    422,033.33x = 134,567,175,798.95
  5. Step 5: Solve for x
    x = 134,567,175,798.95/422,033.33
  6. Step 6: Final answer
    x = 318,854.38

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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.