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Finding the Fourth Proportional to 288,667.89, 398,373.84 and 161,343.38

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Solution

The fourth proportional to 288,667.89, 398,373.84 and 161,343.38 is: 222,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,667.89 : 398,373.84 = 161,343.38 : x
  2. Step 2: Convert to fraction form
    288,667.89/398,373.84 = 161,343.38/x
  3. Step 3: Cross multiply
    288,667.89x = 398,373.84 × 161,343.38
  4. Step 4: Simplify right side
    288,667.89x = 64,274,979,857.31
  5. Step 5: Solve for x
    x = 64,274,979,857.31/288,667.89
  6. Step 6: Final answer
    x = 222,660.65

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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.