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Finding the Fourth Proportional to 422,519.52, 633,352.56 and 264,858.48

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Solution

The fourth proportional to 422,519.52, 633,352.56 and 264,858.48 is: 397,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,519.52 : 633,352.56 = 264,858.48 : x
  2. Step 2: Convert to fraction form
    422,519.52/633,352.56 = 264,858.48/x
  3. Step 3: Cross multiply
    422,519.52x = 633,352.56 × 264,858.48
  4. Step 4: Simplify right side
    422,519.52x = 167,748,796,345.71
  5. Step 5: Solve for x
    x = 167,748,796,345.71/422,519.52
  6. Step 6: Final answer
    x = 397,020.23

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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.