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Finding the Fourth Proportional to 489,246.40, 733,869.60 and 414,596.80

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Solution

The fourth proportional to 489,246.40, 733,869.60 and 414,596.80 is: 621,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,246.40 : 733,869.60 = 414,596.80 : x
  2. Step 2: Convert to fraction form
    489,246.40/733,869.60 = 414,596.80/x
  3. Step 3: Cross multiply
    489,246.40x = 733,869.60 × 414,596.80
  4. Step 4: Simplify right side
    489,246.40x = 304,259,987,777.28
  5. Step 5: Solve for x
    x = 304,259,987,777.28/489,246.40
  6. Step 6: Final answer
    x = 621,895.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.