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Finding the Fourth Proportional to 307,963.36, 461,863.44 and 120,976.48

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Solution

The fourth proportional to 307,963.36, 461,863.44 and 120,976.48 is: 181,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,963.36 : 461,863.44 = 120,976.48 : x
  2. Step 2: Convert to fraction form
    307,963.36/461,863.44 = 120,976.48/x
  3. Step 3: Cross multiply
    307,963.36x = 461,863.44 × 120,976.48
  4. Step 4: Simplify right side
    307,963.36x = 55,874,613,211.89
  5. Step 5: Solve for x
    x = 55,874,613,211.89/307,963.36
  6. Step 6: Final answer
    x = 181,432.67

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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.