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Finding the Fourth Proportional to 533,905.20, 800,857.80 and 280,839.60

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Solution

The fourth proportional to 533,905.20, 800,857.80 and 280,839.60 is: 421,259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,905.20 : 800,857.80 = 280,839.60 : x
  2. Step 2: Convert to fraction form
    533,905.20/800,857.80 = 280,839.60/x
  3. Step 3: Cross multiply
    533,905.20x = 800,857.80 × 280,839.60
  4. Step 4: Simplify right side
    533,905.20x = 224,912,584,208.88
  5. Step 5: Solve for x
    x = 224,912,584,208.88/533,905.20
  6. Step 6: Final answer
    x = 421,259.40

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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.