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Finding the Fourth Proportional to 407,698.80, 611,645.40 and 197,163.60

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Solution

The fourth proportional to 407,698.80, 611,645.40 and 197,163.60 is: 295,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,698.80 : 611,645.40 = 197,163.60 : x
  2. Step 2: Convert to fraction form
    407,698.80/611,645.40 = 197,163.60/x
  3. Step 3: Cross multiply
    407,698.80x = 611,645.40 × 197,163.60
  4. Step 4: Simplify right side
    407,698.80x = 120,594,208,987.44
  5. Step 5: Solve for x
    x = 120,594,208,987.44/407,698.80
  6. Step 6: Final answer
    x = 295,792.41

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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.