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Finding the Fourth Proportional to 458,506.20, 687,759.30 and 419,107.80

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Solution

The fourth proportional to 458,506.20, 687,759.30 and 419,107.80 is: 628,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,506.20 : 687,759.30 = 419,107.80 : x
  2. Step 2: Convert to fraction form
    458,506.20/687,759.30 = 419,107.80/x
  3. Step 3: Cross multiply
    458,506.20x = 687,759.30 × 419,107.80
  4. Step 4: Simplify right side
    458,506.20x = 288,245,287,152.54
  5. Step 5: Solve for x
    x = 288,245,287,152.54/458,506.20
  6. Step 6: Final answer
    x = 628,661.70

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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.