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Finding the Fourth Proportional to 494,599.60, 741,024.60 and 419,366.80

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Solution

The fourth proportional to 494,599.60, 741,024.60 and 419,366.80 is: 628,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,599.60 : 741,024.60 = 419,366.80 : x
  2. Step 2: Convert to fraction form
    494,599.60/741,024.60 = 419,366.80/x
  3. Step 3: Cross multiply
    494,599.60x = 741,024.60 × 419,366.80
  4. Step 4: Simplify right side
    494,599.60x = 310,761,115,223.28
  5. Step 5: Solve for x
    x = 310,761,115,223.28/494,599.60
  6. Step 6: Final answer
    x = 628,308.46

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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.