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Finding the Fourth Proportional to 267,644.98, 400,679.34 and 178,677.82

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Solution

The fourth proportional to 267,644.98, 400,679.34 and 178,677.82 is: 267,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,644.98 : 400,679.34 = 178,677.82 : x
  2. Step 2: Convert to fraction form
    267,644.98/400,679.34 = 178,677.82/x
  3. Step 3: Cross multiply
    267,644.98x = 400,679.34 × 178,677.82
  4. Step 4: Simplify right side
    267,644.98x = 71,592,510,990.24
  5. Step 5: Solve for x
    x = 71,592,510,990.24/267,644.98
  6. Step 6: Final answer
    x = 267,490.58

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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.