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Finding the Fourth Proportional to 311,241.63, 466,903.14 and 111,584.31

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Solution

The fourth proportional to 311,241.63, 466,903.14 and 111,584.31 is: 167,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,241.63 : 466,903.14 = 111,584.31 : x
  2. Step 2: Convert to fraction form
    311,241.63/466,903.14 = 111,584.31/x
  3. Step 3: Cross multiply
    311,241.63x = 466,903.14 × 111,584.31
  4. Step 4: Simplify right side
    311,241.63x = 52,099,064,713.73
  5. Step 5: Solve for x
    x = 52,099,064,713.73/311,241.63
  6. Step 6: Final answer
    x = 167,391.05

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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.