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Finding the Fourth Proportional to 267,889.36, 401,834 and 208,769.28

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Solution

The fourth proportional to 267,889.36, 401,834 and 208,769.28 is: 313,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,889.36 : 401,834 = 208,769.28 : x
  2. Step 2: Convert to fraction form
    267,889.36/401,834 = 208,769.28/x
  3. Step 3: Cross multiply
    267,889.36x = 401,834 × 208,769.28
  4. Step 4: Simplify right side
    267,889.36x = 83,890,594,859.52
  5. Step 5: Solve for x
    x = 83,890,594,859.52/267,889.36
  6. Step 6: Final answer
    x = 313,153.89

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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.