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Finding the Fourth Proportional to 298,916, 412,512.72 and 164,788.64

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Solution

The fourth proportional to 298,916, 412,512.72 and 164,788.64 is: 227,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,916 : 412,512.72 = 164,788.64 : x
  2. Step 2: Convert to fraction form
    298,916/412,512.72 = 164,788.64/x
  3. Step 3: Cross multiply
    298,916x = 412,512.72 × 164,788.64
  4. Step 4: Simplify right side
    298,916x = 67,977,410,111.50
  5. Step 5: Solve for x
    x = 67,977,410,111.50/298,916
  6. Step 6: Final answer
    x = 227,413.09

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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.