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Finding the Fourth Proportional to 263,267.20, 394,900.80 and 200,281.60

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Solution

The fourth proportional to 263,267.20, 394,900.80 and 200,281.60 is: 300,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,267.20 : 394,900.80 = 200,281.60 : x
  2. Step 2: Convert to fraction form
    263,267.20/394,900.80 = 200,281.60/x
  3. Step 3: Cross multiply
    263,267.20x = 394,900.80 × 200,281.60
  4. Step 4: Simplify right side
    263,267.20x = 79,091,364,065.28
  5. Step 5: Solve for x
    x = 79,091,364,065.28/263,267.20
  6. Step 6: Final answer
    x = 300,422.40

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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.