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Finding the Fourth Proportional to 395,491.44, 545,775.40 and 214,199.20

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Solution

The fourth proportional to 395,491.44, 545,775.40 and 214,199.20 is: 295,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,491.44 : 545,775.40 = 214,199.20 : x
  2. Step 2: Convert to fraction form
    395,491.44/545,775.40 = 214,199.20/x
  3. Step 3: Cross multiply
    395,491.44x = 545,775.40 × 214,199.20
  4. Step 4: Simplify right side
    395,491.44x = 116,904,654,059.68
  5. Step 5: Solve for x
    x = 116,904,654,059.68/395,491.44
  6. Step 6: Final answer
    x = 295,593.39

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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.