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Finding the Fourth Proportional to 534,413.25, 801,969.80 and 201,989.25

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Solution

The fourth proportional to 534,413.25, 801,969.80 and 201,989.25 is: 303,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,413.25 : 801,969.80 = 201,989.25 : x
  2. Step 2: Convert to fraction form
    534,413.25/801,969.80 = 201,989.25/x
  3. Step 3: Cross multiply
    534,413.25x = 801,969.80 × 201,989.25
  4. Step 4: Simplify right side
    534,413.25x = 161,989,277,414.70
  5. Step 5: Solve for x
    x = 161,989,277,414.70/534,413.25
  6. Step 6: Final answer
    x = 303,116.13

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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.