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Finding the Fourth Proportional to 278,664.40, 417,996.60 and 200,515.60

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Solution

The fourth proportional to 278,664.40, 417,996.60 and 200,515.60 is: 300,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,664.40 : 417,996.60 = 200,515.60 : x
  2. Step 2: Convert to fraction form
    278,664.40/417,996.60 = 200,515.60/x
  3. Step 3: Cross multiply
    278,664.40x = 417,996.60 × 200,515.60
  4. Step 4: Simplify right side
    278,664.40x = 83,814,839,046.96
  5. Step 5: Solve for x
    x = 83,814,839,046.96/278,664.40
  6. Step 6: Final answer
    x = 300,773.40

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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.