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Finding the Fourth Proportional to 590,520.25, 814,943.75 and 332,413.84

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Solution

The fourth proportional to 590,520.25, 814,943.75 and 332,413.84 is: 458,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,520.25 : 814,943.75 = 332,413.84 : x
  2. Step 2: Convert to fraction form
    590,520.25/814,943.75 = 332,413.84/x
  3. Step 3: Cross multiply
    590,520.25x = 814,943.75 × 332,413.84
  4. Step 4: Simplify right side
    590,520.25x = 270,898,581,321.50
  5. Step 5: Solve for x
    x = 270,898,581,321.50/590,520.25
  6. Step 6: Final answer
    x = 458,745.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.