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Finding the Fourth Proportional to 467,092.88, 644,635.80 and 285,924.54

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Solution

The fourth proportional to 467,092.88, 644,635.80 and 285,924.54 is: 394,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,092.88 : 644,635.80 = 285,924.54 : x
  2. Step 2: Convert to fraction form
    467,092.88/644,635.80 = 285,924.54/x
  3. Step 3: Cross multiply
    467,092.88x = 644,635.80 × 285,924.54
  4. Step 4: Simplify right side
    467,092.88x = 184,317,194,582.53
  5. Step 5: Solve for x
    x = 184,317,194,582.53/467,092.88
  6. Step 6: Final answer
    x = 394,605.02

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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.