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Finding the Fourth Proportional to 301,504.31, 451,831.26 and 166,629.11

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Solution

The fourth proportional to 301,504.31, 451,831.26 and 166,629.11 is: 249,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,504.31 : 451,831.26 = 166,629.11 : x
  2. Step 2: Convert to fraction form
    301,504.31/451,831.26 = 166,629.11/x
  3. Step 3: Cross multiply
    301,504.31x = 451,831.26 × 166,629.11
  4. Step 4: Simplify right side
    301,504.31x = 75,288,241,853.56
  5. Step 5: Solve for x
    x = 75,288,241,853.56/301,504.31
  6. Step 6: Final answer
    x = 249,708.67

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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.