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Finding the Fourth Proportional to 463,745.20, 695,212.80 and 179,629.60

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Solution

The fourth proportional to 463,745.20, 695,212.80 and 179,629.60 is: 269,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,745.20 : 695,212.80 = 179,629.60 : x
  2. Step 2: Convert to fraction form
    463,745.20/695,212.80 = 179,629.60/x
  3. Step 3: Cross multiply
    463,745.20x = 695,212.80 × 179,629.60
  4. Step 4: Simplify right side
    463,745.20x = 124,880,797,178.88
  5. Step 5: Solve for x
    x = 124,880,797,178.88/463,745.20
  6. Step 6: Final answer
    x = 269,287.53

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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.