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Finding the Fourth Proportional to 492,413.40, 738,101.70 and 192,778.20

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Solution

The fourth proportional to 492,413.40, 738,101.70 and 192,778.20 is: 288,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,413.40 : 738,101.70 = 192,778.20 : x
  2. Step 2: Convert to fraction form
    492,413.40/738,101.70 = 192,778.20/x
  3. Step 3: Cross multiply
    492,413.40x = 738,101.70 × 192,778.20
  4. Step 4: Simplify right side
    492,413.40x = 142,289,917,142.94
  5. Step 5: Solve for x
    x = 142,289,917,142.94/492,413.40
  6. Step 6: Final answer
    x = 288,964.35

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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.