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Finding the Fourth Proportional to 533,413.44, 800,199.74 and 196,428.20

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Solution

The fourth proportional to 533,413.44, 800,199.74 and 196,428.20 is: 294,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,413.44 : 800,199.74 = 196,428.20 : x
  2. Step 2: Convert to fraction form
    533,413.44/800,199.74 = 196,428.20/x
  3. Step 3: Cross multiply
    533,413.44x = 800,199.74 × 196,428.20
  4. Step 4: Simplify right side
    533,413.44x = 157,181,791,058.74
  5. Step 5: Solve for x
    x = 157,181,791,058.74/533,413.44
  6. Step 6: Final answer
    x = 294,671.60

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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.