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Finding the Fourth Proportional to 395,696.62, 546,049.47 and 225,897.58

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Solution

The fourth proportional to 395,696.62, 546,049.47 and 225,897.58 is: 311,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,696.62 : 546,049.47 = 225,897.58 : x
  2. Step 2: Convert to fraction form
    395,696.62/546,049.47 = 225,897.58/x
  3. Step 3: Cross multiply
    395,696.62x = 546,049.47 × 225,897.58
  4. Step 4: Simplify right side
    395,696.62x = 123,351,253,833.28
  5. Step 5: Solve for x
    x = 123,351,253,833.28/395,696.62
  6. Step 6: Final answer
    x = 311,731.89

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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.