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Finding the Fourth Proportional to 292,843.97, 438,764.00 and 196,600.91

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Solution

The fourth proportional to 292,843.97, 438,764.00 and 196,600.91 is: 294,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,843.97 : 438,764.00 = 196,600.91 : x
  2. Step 2: Convert to fraction form
    292,843.97/438,764.00 = 196,600.91/x
  3. Step 3: Cross multiply
    292,843.97x = 438,764.00 × 196,600.91
  4. Step 4: Simplify right side
    292,843.97x = 86,261,398,498.42
  5. Step 5: Solve for x
    x = 86,261,398,498.42/292,843.97
  6. Step 6: Final answer
    x = 294,564.37

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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.