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Finding the Fourth Proportional to 467,092.82, 644,635.71 and 285,924.47

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Solution

The fourth proportional to 467,092.82, 644,635.71 and 285,924.47 is: 394,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,092.82 : 644,635.71 = 285,924.47 : x
  2. Step 2: Convert to fraction form
    467,092.82/644,635.71 = 285,924.47/x
  3. Step 3: Cross multiply
    467,092.82x = 644,635.71 × 285,924.47
  4. Step 4: Simplify right side
    467,092.82x = 184,317,120,501.65
  5. Step 5: Solve for x
    x = 184,317,120,501.65/467,092.82
  6. Step 6: Final answer
    x = 394,604.91

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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.