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Finding the Fourth Proportional to 267,816.17, 401,487.76 and 204,917.06

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Solution

The fourth proportional to 267,816.17, 401,487.76 and 204,917.06 is: 307,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,816.17 : 401,487.76 = 204,917.06 : x
  2. Step 2: Convert to fraction form
    267,816.17/401,487.76 = 204,917.06/x
  3. Step 3: Cross multiply
    267,816.17x = 401,487.76 × 204,917.06
  4. Step 4: Simplify right side
    267,816.17x = 82,271,689,254.02
  5. Step 5: Solve for x
    x = 82,271,689,254.02/267,816.17
  6. Step 6: Final answer
    x = 307,194.63

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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.