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Finding the Fourth Proportional to 395,662.01, 546,000.84 and 225,896.13

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Solution

The fourth proportional to 395,662.01, 546,000.84 and 225,896.13 is: 311,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,662.01 : 546,000.84 = 225,896.13 : x
  2. Step 2: Convert to fraction form
    395,662.01/546,000.84 = 225,896.13/x
  3. Step 3: Cross multiply
    395,662.01x = 546,000.84 × 225,896.13
  4. Step 4: Simplify right side
    395,662.01x = 123,339,476,732.75
  5. Step 5: Solve for x
    x = 123,339,476,732.75/395,662.01
  6. Step 6: Final answer
    x = 311,729.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.