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Finding the Fourth Proportional to 294,046.52, 405,634.64 and 192,131.60

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Solution

The fourth proportional to 294,046.52, 405,634.64 and 192,131.60 is: 265,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,046.52 : 405,634.64 = 192,131.60 : x
  2. Step 2: Convert to fraction form
    294,046.52/405,634.64 = 192,131.60/x
  3. Step 3: Cross multiply
    294,046.52x = 405,634.64 × 192,131.60
  4. Step 4: Simplify right side
    294,046.52x = 77,935,232,398.62
  5. Step 5: Solve for x
    x = 77,935,232,398.62/294,046.52
  6. Step 6: Final answer
    x = 265,043.89

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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.