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Finding the Fourth Proportional to 533,413.32, 800,199.56 and 196,428.07

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Solution

The fourth proportional to 533,413.32, 800,199.56 and 196,428.07 is: 294,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,413.32 : 800,199.56 = 196,428.07 : x
  2. Step 2: Convert to fraction form
    533,413.32/800,199.56 = 196,428.07/x
  3. Step 3: Cross multiply
    533,413.32x = 800,199.56 × 196,428.07
  4. Step 4: Simplify right side
    533,413.32x = 157,181,655,185.65
  5. Step 5: Solve for x
    x = 157,181,655,185.65/533,413.32
  6. Step 6: Final answer
    x = 294,671.41

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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.