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Finding the Fourth Proportional to 267,856.74, 401,785.08 and 208,736.64

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Solution

The fourth proportional to 267,856.74, 401,785.08 and 208,736.64 is: 313,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,856.74 : 401,785.08 = 208,736.64 : x
  2. Step 2: Convert to fraction form
    267,856.74/401,785.08 = 208,736.64/x
  3. Step 3: Cross multiply
    267,856.74x = 401,785.08 × 208,736.64
  4. Step 4: Simplify right side
    267,856.74x = 83,867,267,601.33
  5. Step 5: Solve for x
    x = 83,867,267,601.33/267,856.74
  6. Step 6: Final answer
    x = 313,104.94

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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.