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Finding the Fourth Proportional to 383,498.60, 575,155.74 and 196,413.80

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Solution

The fourth proportional to 383,498.60, 575,155.74 and 196,413.80 is: 294,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,498.60 : 575,155.74 = 196,413.80 : x
  2. Step 2: Convert to fraction form
    383,498.60/575,155.74 = 196,413.80/x
  3. Step 3: Cross multiply
    383,498.60x = 575,155.74 × 196,413.80
  4. Step 4: Simplify right side
    383,498.60x = 112,968,524,485.21
  5. Step 5: Solve for x
    x = 112,968,524,485.21/383,498.60
  6. Step 6: Final answer
    x = 294,573.50

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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.