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Finding the Fourth Proportional to 277,460.28, 416,336.22 and 151,191

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Solution

The fourth proportional to 277,460.28, 416,336.22 and 151,191 is: 226,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,460.28 : 416,336.22 = 151,191 : x
  2. Step 2: Convert to fraction form
    277,460.28/416,336.22 = 151,191/x
  3. Step 3: Cross multiply
    277,460.28x = 416,336.22 × 151,191
  4. Step 4: Simplify right side
    277,460.28x = 62,946,289,438.02
  5. Step 5: Solve for x
    x = 62,946,289,438.02/277,460.28
  6. Step 6: Final answer
    x = 226,865.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.