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Finding the Fourth Proportional to 489,324.40, 733,986.60 and 414,674.80

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Solution

The fourth proportional to 489,324.40, 733,986.60 and 414,674.80 is: 622,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,324.40 : 733,986.60 = 414,674.80 : x
  2. Step 2: Convert to fraction form
    489,324.40/733,986.60 = 414,674.80/x
  3. Step 3: Cross multiply
    489,324.40x = 733,986.60 × 414,674.80
  4. Step 4: Simplify right side
    489,324.40x = 304,365,746,557.68
  5. Step 5: Solve for x
    x = 304,365,746,557.68/489,324.40
  6. Step 6: Final answer
    x = 622,012.20

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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.