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Finding the Fourth Proportional to 476,413.60, 714,348.24 and 195,700

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Solution

The fourth proportional to 476,413.60, 714,348.24 and 195,700 is: 293,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,413.60 : 714,348.24 = 195,700 : x
  2. Step 2: Convert to fraction form
    476,413.60/714,348.24 = 195,700/x
  3. Step 3: Cross multiply
    476,413.60x = 714,348.24 × 195,700
  4. Step 4: Simplify right side
    476,413.60x = 139,797,950,568
  5. Step 5: Solve for x
    x = 139,797,950,568/476,413.60
  6. Step 6: Final answer
    x = 293,438.20

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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.