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Finding the Fourth Proportional to 462,997.40, 693,977.70 and 263,413.40

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Solution

The fourth proportional to 462,997.40, 693,977.70 and 263,413.40 is: 394,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,997.40 : 693,977.70 = 263,413.40 : x
  2. Step 2: Convert to fraction form
    462,997.40/693,977.70 = 263,413.40/x
  3. Step 3: Cross multiply
    462,997.40x = 693,977.70 × 263,413.40
  4. Step 4: Simplify right side
    462,997.40x = 182,803,025,481.18
  5. Step 5: Solve for x
    x = 182,803,025,481.18/462,997.40
  6. Step 6: Final answer
    x = 394,825.17

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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.