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Finding the Fourth Proportional to 307,717.56, 461,574.27 and 165,629.79

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Solution

The fourth proportional to 307,717.56, 461,574.27 and 165,629.79 is: 248,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,717.56 : 461,574.27 = 165,629.79 : x
  2. Step 2: Convert to fraction form
    307,717.56/461,574.27 = 165,629.79/x
  3. Step 3: Cross multiply
    307,717.56x = 461,574.27 × 165,629.79
  4. Step 4: Simplify right side
    307,717.56x = 76,450,449,409.50
  5. Step 5: Solve for x
    x = 76,450,449,409.50/307,717.56
  6. Step 6: Final answer
    x = 248,443.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.