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Finding the Fourth Proportional to 271,286.40, 406,929.60 and 177,846.40

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Solution

The fourth proportional to 271,286.40, 406,929.60 and 177,846.40 is: 266,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,286.40 : 406,929.60 = 177,846.40 : x
  2. Step 2: Convert to fraction form
    271,286.40/406,929.60 = 177,846.40/x
  3. Step 3: Cross multiply
    271,286.40x = 406,929.60 × 177,846.40
  4. Step 4: Simplify right side
    271,286.40x = 72,370,964,413.44
  5. Step 5: Solve for x
    x = 72,370,964,413.44/271,286.40
  6. Step 6: Final answer
    x = 266,769.60

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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.