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Finding the Fourth Proportional to 288,797.56, 433,270.14 and 111,256.96

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Solution

The fourth proportional to 288,797.56, 433,270.14 and 111,256.96 is: 166,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,797.56 : 433,270.14 = 111,256.96 : x
  2. Step 2: Convert to fraction form
    288,797.56/433,270.14 = 111,256.96/x
  3. Step 3: Cross multiply
    288,797.56x = 433,270.14 × 111,256.96
  4. Step 4: Simplify right side
    288,797.56x = 48,204,318,635.17
  5. Step 5: Solve for x
    x = 48,204,318,635.17/288,797.56
  6. Step 6: Final answer
    x = 166,913.87

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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.