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Finding the Fourth Proportional to 277,743.22, 383,285.28 and 150,419.32

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Solution

The fourth proportional to 277,743.22, 383,285.28 and 150,419.32 is: 207,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,743.22 : 383,285.28 = 150,419.32 : x
  2. Step 2: Convert to fraction form
    277,743.22/383,285.28 = 150,419.32/x
  3. Step 3: Cross multiply
    277,743.22x = 383,285.28 × 150,419.32
  4. Step 4: Simplify right side
    277,743.22x = 57,653,510,789.47
  5. Step 5: Solve for x
    x = 57,653,510,789.47/277,743.22
  6. Step 6: Final answer
    x = 207,578.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.