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Finding the Fourth Proportional to 437,546.40, 656,611.20 and 200,767.20

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Solution

The fourth proportional to 437,546.40, 656,611.20 and 200,767.20 is: 301,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,546.40 : 656,611.20 = 200,767.20 : x
  2. Step 2: Convert to fraction form
    437,546.40/656,611.20 = 200,767.20/x
  3. Step 3: Cross multiply
    437,546.40x = 656,611.20 × 200,767.20
  4. Step 4: Simplify right side
    437,546.40x = 131,825,992,112.64
  5. Step 5: Solve for x
    x = 131,825,992,112.64/437,546.40
  6. Step 6: Final answer
    x = 301,284.60

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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.