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Finding the Fourth Proportional to 276,003.20, 414,004.80 and 200,770.40

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Solution

The fourth proportional to 276,003.20, 414,004.80 and 200,770.40 is: 301,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,003.20 : 414,004.80 = 200,770.40 : x
  2. Step 2: Convert to fraction form
    276,003.20/414,004.80 = 200,770.40/x
  3. Step 3: Cross multiply
    276,003.20x = 414,004.80 × 200,770.40
  4. Step 4: Simplify right side
    276,003.20x = 83,119,909,297.92
  5. Step 5: Solve for x
    x = 83,119,909,297.92/276,003.20
  6. Step 6: Final answer
    x = 301,155.60

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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.