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Finding the Fourth Proportional to 489,279.40, 733,919.10 and 414,629.80

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Solution

The fourth proportional to 489,279.40, 733,919.10 and 414,629.80 is: 621,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,279.40 : 733,919.10 = 414,629.80 : x
  2. Step 2: Convert to fraction form
    489,279.40/733,919.10 = 414,629.80/x
  3. Step 3: Cross multiply
    489,279.40x = 733,919.10 × 414,629.80
  4. Step 4: Simplify right side
    489,279.40x = 304,304,729,649.18
  5. Step 5: Solve for x
    x = 304,304,729,649.18/489,279.40
  6. Step 6: Final answer
    x = 621,944.70

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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.