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Finding the Fourth Proportional to 617,477.48, 926,198.94 and 196,778.60

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Solution

The fourth proportional to 617,477.48, 926,198.94 and 196,778.60 is: 295,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,477.48 : 926,198.94 = 196,778.60 : x
  2. Step 2: Convert to fraction form
    617,477.48/926,198.94 = 196,778.60/x
  3. Step 3: Cross multiply
    617,477.48x = 926,198.94 × 196,778.60
  4. Step 4: Simplify right side
    617,477.48x = 182,256,130,734.68
  5. Step 5: Solve for x
    x = 182,256,130,734.68/617,477.48
  6. Step 6: Final answer
    x = 295,162.39

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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.