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Finding the Fourth Proportional to 489,076.80, 733,744.80 and 173,500.80

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Solution

The fourth proportional to 489,076.80, 733,744.80 and 173,500.80 is: 260,297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,076.80 : 733,744.80 = 173,500.80 : x
  2. Step 2: Convert to fraction form
    489,076.80/733,744.80 = 173,500.80/x
  3. Step 3: Cross multiply
    489,076.80x = 733,744.80 × 173,500.80
  4. Step 4: Simplify right side
    489,076.80x = 127,305,309,795.84
  5. Step 5: Solve for x
    x = 127,305,309,795.84/489,076.80
  6. Step 6: Final answer
    x = 260,297.18

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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.