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Finding the Fourth Proportional to 644,413.20, 965,698.20 and 474,608.40

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Solution

The fourth proportional to 644,413.20, 965,698.20 and 474,608.40 is: 711,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,413.20 : 965,698.20 = 474,608.40 : x
  2. Step 2: Convert to fraction form
    644,413.20/965,698.20 = 474,608.40/x
  3. Step 3: Cross multiply
    644,413.20x = 965,698.20 × 474,608.40
  4. Step 4: Simplify right side
    644,413.20x = 458,328,477,584.88
  5. Step 5: Solve for x
    x = 458,328,477,584.88/644,413.20
  6. Step 6: Final answer
    x = 711,233.84

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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.