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Finding the Fourth Proportional to 288,097.56, 397,586.34 and 160,769.88

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Solution

The fourth proportional to 288,097.56, 397,586.34 and 160,769.88 is: 221,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,097.56 : 397,586.34 = 160,769.88 : x
  2. Step 2: Convert to fraction form
    288,097.56/397,586.34 = 160,769.88/x
  3. Step 3: Cross multiply
    288,097.56x = 397,586.34 × 160,769.88
  4. Step 4: Simplify right side
    288,097.56x = 63,919,908,171.44
  5. Step 5: Solve for x
    x = 63,919,908,171.44/288,097.56
  6. Step 6: Final answer
    x = 221,868.97

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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.