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Finding the Fourth Proportional to 494,942.40, 742,413.60 and 411,998.40

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Solution

The fourth proportional to 494,942.40, 742,413.60 and 411,998.40 is: 617,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,942.40 : 742,413.60 = 411,998.40 : x
  2. Step 2: Convert to fraction form
    494,942.40/742,413.60 = 411,998.40/x
  3. Step 3: Cross multiply
    494,942.40x = 742,413.60 × 411,998.40
  4. Step 4: Simplify right side
    494,942.40x = 305,873,215,338.24
  5. Step 5: Solve for x
    x = 305,873,215,338.24/494,942.40
  6. Step 6: Final answer
    x = 617,997.60

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Similar ratio
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1.5x scale

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.