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Finding the Fourth Proportional to 384,144.08, 530,168.99 and 214,413.44

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Solution

The fourth proportional to 384,144.08, 530,168.99 and 214,413.44 is: 295,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,144.08 : 530,168.99 = 214,413.44 : x
  2. Step 2: Convert to fraction form
    384,144.08/530,168.99 = 214,413.44/x
  3. Step 3: Cross multiply
    384,144.08x = 530,168.99 × 214,413.44
  4. Step 4: Simplify right side
    384,144.08x = 113,675,356,927.23
  5. Step 5: Solve for x
    x = 113,675,356,927.23/384,144.08
  6. Step 6: Final answer
    x = 295,918.54

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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.