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Finding the Fourth Proportional to 294,797.31, 406,694.22 and 192,645.47

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Solution

The fourth proportional to 294,797.31, 406,694.22 and 192,645.47 is: 265,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,797.31 : 406,694.22 = 192,645.47 : x
  2. Step 2: Convert to fraction form
    294,797.31/406,694.22 = 192,645.47/x
  3. Step 3: Cross multiply
    294,797.31x = 406,694.22 × 192,645.47
  4. Step 4: Simplify right side
    294,797.31x = 78,347,797,124.71
  5. Step 5: Solve for x
    x = 78,347,797,124.71/294,797.31
  6. Step 6: Final answer
    x = 265,768.36

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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.