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Finding the Fourth Proportional to 277,030.44, 416,296.02 and 150,764.04

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Solution

The fourth proportional to 277,030.44, 416,296.02 and 150,764.04 is: 226,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,030.44 : 416,296.02 = 150,764.04 : x
  2. Step 2: Convert to fraction form
    277,030.44/416,296.02 = 150,764.04/x
  3. Step 3: Cross multiply
    277,030.44x = 416,296.02 × 150,764.04
  4. Step 4: Simplify right side
    277,030.44x = 62,762,469,811.12
  5. Step 5: Solve for x
    x = 62,762,469,811.12/277,030.44
  6. Step 6: Final answer
    x = 226,554.42

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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.