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Finding the Fourth Proportional to 288,629.72, 398,309.63 and 161,305.31

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Solution

The fourth proportional to 288,629.72, 398,309.63 and 161,305.31 is: 222,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,629.72 : 398,309.63 = 161,305.31 : x
  2. Step 2: Convert to fraction form
    288,629.72/398,309.63 = 161,305.31/x
  3. Step 3: Cross multiply
    288,629.72x = 398,309.63 × 161,305.31
  4. Step 4: Simplify right side
    288,629.72x = 64,249,458,532.38
  5. Step 5: Solve for x
    x = 64,249,458,532.38/288,629.72
  6. Step 6: Final answer
    x = 222,601.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.