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Finding the Fourth Proportional to 267,892.36, 401,838.50 and 208,772.28

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Solution

The fourth proportional to 267,892.36, 401,838.50 and 208,772.28 is: 313,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,892.36 : 401,838.50 = 208,772.28 : x
  2. Step 2: Convert to fraction form
    267,892.36/401,838.50 = 208,772.28/x
  3. Step 3: Cross multiply
    267,892.36x = 401,838.50 × 208,772.28
  4. Step 4: Simplify right side
    267,892.36x = 83,892,739,836.78
  5. Step 5: Solve for x
    x = 83,892,739,836.78/267,892.36
  6. Step 6: Final answer
    x = 313,158.39

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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.