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Finding the Fourth Proportional to 305,242.31, 421,234.43 and 169,297.04

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Solution

The fourth proportional to 305,242.31, 421,234.43 and 169,297.04 is: 233,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,242.31 : 421,234.43 = 169,297.04 : x
  2. Step 2: Convert to fraction form
    305,242.31/421,234.43 = 169,297.04/x
  3. Step 3: Cross multiply
    305,242.31x = 421,234.43 × 169,297.04
  4. Step 4: Simplify right side
    305,242.31x = 71,313,742,351.69
  5. Step 5: Solve for x
    x = 71,313,742,351.69/305,242.31
  6. Step 6: Final answer
    x = 233,629.94

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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.