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Finding the Fourth Proportional to 301,973.25, 453,107.49 and 213,793.41

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Solution

The fourth proportional to 301,973.25, 453,107.49 and 213,793.41 is: 320,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,973.25 : 453,107.49 = 213,793.41 : x
  2. Step 2: Convert to fraction form
    301,973.25/453,107.49 = 213,793.41/x
  3. Step 3: Cross multiply
    301,973.25x = 453,107.49 × 213,793.41
  4. Step 4: Simplify right side
    301,973.25x = 96,871,395,383.64
  5. Step 5: Solve for x
    x = 96,871,395,383.64/301,973.25
  6. Step 6: Final answer
    x = 320,794.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.