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Finding the Fourth Proportional to 463,003.40, 693,986.70 and 263,419.40

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Solution

The fourth proportional to 463,003.40, 693,986.70 and 263,419.40 is: 394,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,003.40 : 693,986.70 = 263,419.40 : x
  2. Step 2: Convert to fraction form
    463,003.40/693,986.70 = 263,419.40/x
  3. Step 3: Cross multiply
    463,003.40x = 693,986.70 × 263,419.40
  4. Step 4: Simplify right side
    463,003.40x = 182,809,560,121.98
  5. Step 5: Solve for x
    x = 182,809,560,121.98/463,003.40
  6. Step 6: Final answer
    x = 394,834.16

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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.