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Finding the Fourth Proportional to 489,596.01, 733,888.80 and 205,451.61

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Solution

The fourth proportional to 489,596.01, 733,888.80 and 205,451.61 is: 307,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,596.01 : 733,888.80 = 205,451.61 : x
  2. Step 2: Convert to fraction form
    489,596.01/733,888.80 = 205,451.61/x
  3. Step 3: Cross multiply
    489,596.01x = 733,888.80 × 205,451.61
  4. Step 4: Simplify right side
    489,596.01x = 150,778,635,520.97
  5. Step 5: Solve for x
    x = 150,778,635,520.97/489,596.01
  6. Step 6: Final answer
    x = 307,965.41

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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.