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Finding the Fourth Proportional to 298,555.46, 412,004.73 and 164,418.50

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Solution

The fourth proportional to 298,555.46, 412,004.73 and 164,418.50 is: 226,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,555.46 : 412,004.73 = 164,418.50 : x
  2. Step 2: Convert to fraction form
    298,555.46/412,004.73 = 164,418.50/x
  3. Step 3: Cross multiply
    298,555.46x = 412,004.73 × 164,418.50
  4. Step 4: Simplify right side
    298,555.46x = 67,741,199,699.51
  5. Step 5: Solve for x
    x = 67,741,199,699.51/298,555.46
  6. Step 6: Final answer
    x = 226,896.54

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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.