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Finding the Fourth Proportional to 465,271.44, 697,910.81 and 254,794.56

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Solution

The fourth proportional to 465,271.44, 697,910.81 and 254,794.56 is: 382,193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,271.44 : 697,910.81 = 254,794.56 : x
  2. Step 2: Convert to fraction form
    465,271.44/697,910.81 = 254,794.56/x
  3. Step 3: Cross multiply
    465,271.44x = 697,910.81 × 254,794.56
  4. Step 4: Simplify right side
    465,271.44x = 177,823,876,479.22
  5. Step 5: Solve for x
    x = 177,823,876,479.22/465,271.44
  6. Step 6: Final answer
    x = 382,193.84

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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.