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Finding the Fourth Proportional to 277,738.54, 383,278.33 and 150,414.10

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Solution

The fourth proportional to 277,738.54, 383,278.33 and 150,414.10 is: 207,570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,738.54 : 383,278.33 = 150,414.10 : x
  2. Step 2: Convert to fraction form
    277,738.54/383,278.33 = 150,414.10/x
  3. Step 3: Cross multiply
    277,738.54x = 383,278.33 × 150,414.10
  4. Step 4: Simplify right side
    277,738.54x = 57,650,465,056.45
  5. Step 5: Solve for x
    x = 57,650,465,056.45/277,738.54
  6. Step 6: Final answer
    x = 207,570.99

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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.