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Finding the Fourth Proportional to 395,654.14, 546,191.94 and 225,855.46

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Solution

The fourth proportional to 395,654.14, 546,191.94 and 225,855.46 is: 311,788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,654.14 : 546,191.94 = 225,855.46 : x
  2. Step 2: Convert to fraction form
    395,654.14/546,191.94 = 225,855.46/x
  3. Step 3: Cross multiply
    395,654.14x = 546,191.94 × 225,855.46
  4. Step 4: Simplify right side
    395,654.14x = 123,360,431,856.99
  5. Step 5: Solve for x
    x = 123,360,431,856.99/395,654.14
  6. Step 6: Final answer
    x = 311,788.55

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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.