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Finding the Fourth Proportional to 462,173.85, 693,260.78 and 384,413.85

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Solution

The fourth proportional to 462,173.85, 693,260.78 and 384,413.85 is: 576,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,173.85 : 693,260.78 = 384,413.85 : x
  2. Step 2: Convert to fraction form
    462,173.85/693,260.78 = 384,413.85/x
  3. Step 3: Cross multiply
    462,173.85x = 693,260.78 × 384,413.85
  4. Step 4: Simplify right side
    462,173.85x = 266,499,043,571.73
  5. Step 5: Solve for x
    x = 266,499,043,571.73/462,173.85
  6. Step 6: Final answer
    x = 576,620.78

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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.