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Finding the Fourth Proportional to 395,076.88, 545,201.94 and 213,784.84

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Solution

The fourth proportional to 395,076.88, 545,201.94 and 213,784.84 is: 295,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,076.88 : 545,201.94 = 213,784.84 : x
  2. Step 2: Convert to fraction form
    395,076.88/545,201.94 = 213,784.84/x
  3. Step 3: Cross multiply
    395,076.88x = 545,201.94 × 213,784.84
  4. Step 4: Simplify right side
    395,076.88x = 116,555,909,510.59
  5. Step 5: Solve for x
    x = 116,555,909,510.59/395,076.88
  6. Step 6: Final answer
    x = 295,020.83

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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.