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Finding the Fourth Proportional to 288,142.36, 397,266.81 and 236,268.34

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Solution

The fourth proportional to 288,142.36, 397,266.81 and 236,268.34 is: 325,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,142.36 : 397,266.81 = 236,268.34 : x
  2. Step 2: Convert to fraction form
    288,142.36/397,266.81 = 236,268.34/x
  3. Step 3: Cross multiply
    288,142.36x = 397,266.81 × 236,268.34
  4. Step 4: Simplify right side
    288,142.36x = 93,861,569,735.80
  5. Step 5: Solve for x
    x = 93,861,569,735.80/288,142.36
  6. Step 6: Final answer
    x = 325,747.21

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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.