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Finding the Fourth Proportional to 395,882.44, 546,315.78 and 214,593.64

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Solution

The fourth proportional to 395,882.44, 546,315.78 and 214,593.64 is: 296,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,882.44 : 546,315.78 = 214,593.64 : x
  2. Step 2: Convert to fraction form
    395,882.44/546,315.78 = 214,593.64/x
  3. Step 3: Cross multiply
    395,882.44x = 546,315.78 × 214,593.64
  4. Step 4: Simplify right side
    395,882.44x = 117,235,891,819.64
  5. Step 5: Solve for x
    x = 117,235,891,819.64/395,882.44
  6. Step 6: Final answer
    x = 296,138.15

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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.