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Finding the Fourth Proportional to 405,413.12, 559,485.88 and 269,212.22

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Solution

The fourth proportional to 405,413.12, 559,485.88 and 269,212.22 is: 371,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,413.12 : 559,485.88 = 269,212.22 : x
  2. Step 2: Convert to fraction form
    405,413.12/559,485.88 = 269,212.22/x
  3. Step 3: Cross multiply
    405,413.12x = 559,485.88 × 269,212.22
  4. Step 4: Simplify right side
    405,413.12x = 150,620,435,813.45
  5. Step 5: Solve for x
    x = 150,620,435,813.45/405,413.12
  6. Step 6: Final answer
    x = 371,523.34

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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.