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Finding the Fourth Proportional to 271,646.89, 407,896.83 and 230,072.02

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Solution

The fourth proportional to 271,646.89, 407,896.83 and 230,072.02 is: 345,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,646.89 : 407,896.83 = 230,072.02 : x
  2. Step 2: Convert to fraction form
    271,646.89/407,896.83 = 230,072.02/x
  3. Step 3: Cross multiply
    271,646.89x = 407,896.83 × 230,072.02
  4. Step 4: Simplify right side
    271,646.89x = 93,845,646,609.95
  5. Step 5: Solve for x
    x = 93,845,646,609.95/271,646.89
  6. Step 6: Final answer
    x = 345,469.25

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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.