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Finding the Fourth Proportional to 494,958.89, 742,413.71 and 270,757.24

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Solution

The fourth proportional to 494,958.89, 742,413.71 and 270,757.24 is: 406,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,958.89 : 742,413.71 = 270,757.24 : x
  2. Step 2: Convert to fraction form
    494,958.89/742,413.71 = 270,757.24/x
  3. Step 3: Cross multiply
    494,958.89x = 742,413.71 × 270,757.24
  4. Step 4: Simplify right side
    494,958.89x = 201,013,885,878.62
  5. Step 5: Solve for x
    x = 201,013,885,878.62/494,958.89
  6. Step 6: Final answer
    x = 406,122.38

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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.