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Finding the Fourth Proportional to 697,413.96, 1,046,120.96 and 198,765

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Solution

The fourth proportional to 697,413.96, 1,046,120.96 and 198,765 is: 298,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,413.96 : 1,046,120.96 = 198,765 : x
  2. Step 2: Convert to fraction form
    697,413.96/1,046,120.96 = 198,765/x
  3. Step 3: Cross multiply
    697,413.96x = 1,046,120.96 × 198,765
  4. Step 4: Simplify right side
    697,413.96x = 207,932,232,614.40
  5. Step 5: Solve for x
    x = 207,932,232,614.40/697,413.96
  6. Step 6: Final answer
    x = 298,147.51

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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.