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Finding the Fourth Proportional to 277,620.20, 416,624.70 and 178,022.60

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Solution

The fourth proportional to 277,620.20, 416,624.70 and 178,022.60 is: 267,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,620.20 : 416,624.70 = 178,022.60 : x
  2. Step 2: Convert to fraction form
    277,620.20/416,624.70 = 178,022.60/x
  3. Step 3: Cross multiply
    277,620.20x = 416,624.70 × 178,022.60
  4. Step 4: Simplify right side
    277,620.20x = 74,168,612,318.22
  5. Step 5: Solve for x
    x = 74,168,612,318.22/277,620.20
  6. Step 6: Final answer
    x = 267,158.56

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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.