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Finding the Fourth Proportional to 513,497.40, 768,788.10 and 485,568.60

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Solution

The fourth proportional to 513,497.40, 768,788.10 and 485,568.60 is: 726,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,497.40 : 768,788.10 = 485,568.60 : x
  2. Step 2: Convert to fraction form
    513,497.40/768,788.10 = 485,568.60/x
  3. Step 3: Cross multiply
    513,497.40x = 768,788.10 × 485,568.60
  4. Step 4: Simplify right side
    513,497.40x = 373,299,361,413.66
  5. Step 5: Solve for x
    x = 373,299,361,413.66/513,497.40
  6. Step 6: Final answer
    x = 726,974.20

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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.