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Finding the Fourth Proportional to 311,406.44, 467,308.34 and 111,722.40

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Solution

The fourth proportional to 311,406.44, 467,308.34 and 111,722.40 is: 167,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,406.44 : 467,308.34 = 111,722.40 : x
  2. Step 2: Convert to fraction form
    311,406.44/467,308.34 = 111,722.40/x
  3. Step 3: Cross multiply
    311,406.44x = 467,308.34 × 111,722.40
  4. Step 4: Simplify right side
    311,406.44x = 52,208,809,284.82
  5. Step 5: Solve for x
    x = 52,208,809,284.82/311,406.44
  6. Step 6: Final answer
    x = 167,654.88

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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.