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Finding the Fourth Proportional to 307,637.60, 461,067.60 and 274,200.80

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Solution

The fourth proportional to 307,637.60, 461,067.60 and 274,200.80 is: 410,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,637.60 : 461,067.60 = 274,200.80 : x
  2. Step 2: Convert to fraction form
    307,637.60/461,067.60 = 274,200.80/x
  3. Step 3: Cross multiply
    307,637.60x = 461,067.60 × 274,200.80
  4. Step 4: Simplify right side
    307,637.60x = 126,425,104,774.08
  5. Step 5: Solve for x
    x = 126,425,104,774.08/307,637.60
  6. Step 6: Final answer
    x = 410,954.66

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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.