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Finding the Fourth Proportional to 344,865.12, 475,913.76 and 193,962

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Solution

The fourth proportional to 344,865.12, 475,913.76 and 193,962 is: 267,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,865.12 : 475,913.76 = 193,962 : x
  2. Step 2: Convert to fraction form
    344,865.12/475,913.76 = 193,962/x
  3. Step 3: Cross multiply
    344,865.12x = 475,913.76 × 193,962
  4. Step 4: Simplify right side
    344,865.12x = 92,309,184,717.12
  5. Step 5: Solve for x
    x = 92,309,184,717.12/344,865.12
  6. Step 6: Final answer
    x = 267,667.50

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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.