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Finding the Fourth Proportional to 298,058, 411,111.72 and 196,051.28

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Solution

The fourth proportional to 298,058, 411,111.72 and 196,051.28 is: 270,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,058 : 411,111.72 = 196,051.28 : x
  2. Step 2: Convert to fraction form
    298,058/411,111.72 = 196,051.28/x
  3. Step 3: Cross multiply
    298,058x = 411,111.72 × 196,051.28
  4. Step 4: Simplify right side
    298,058x = 80,598,978,929.00
  5. Step 5: Solve for x
    x = 80,598,978,929.00/298,058
  6. Step 6: Final answer
    x = 270,413.74

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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.