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Finding the Fourth Proportional to 460,413.30, 635,468.33 and 309,422.82

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Solution

The fourth proportional to 460,413.30, 635,468.33 and 309,422.82 is: 427,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,413.30 : 635,468.33 = 309,422.82 : x
  2. Step 2: Convert to fraction form
    460,413.30/635,468.33 = 309,422.82/x
  3. Step 3: Cross multiply
    460,413.30x = 635,468.33 × 309,422.82
  4. Step 4: Simplify right side
    460,413.30x = 196,628,401,142.18
  5. Step 5: Solve for x
    x = 196,628,401,142.18/460,413.30
  6. Step 6: Final answer
    x = 427,069.33

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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.