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Finding the Fourth Proportional to 318,942.81, 478,414.89 and 299,456.64

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Solution

The fourth proportional to 318,942.81, 478,414.89 and 299,456.64 is: 449,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,942.81 : 478,414.89 = 299,456.64 : x
  2. Step 2: Convert to fraction form
    318,942.81/478,414.89 = 299,456.64/x
  3. Step 3: Cross multiply
    318,942.81x = 478,414.89 × 299,456.64
  4. Step 4: Simplify right side
    318,942.81x = 143,264,515,485.37
  5. Step 5: Solve for x
    x = 143,264,515,485.37/318,942.81
  6. Step 6: Final answer
    x = 449,185.59

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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.