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Finding the Fourth Proportional to 277,832.28, 383,408.16 and 150,508.38

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Solution

The fourth proportional to 277,832.28, 383,408.16 and 150,508.38 is: 207,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,832.28 : 383,408.16 = 150,508.38 : x
  2. Step 2: Convert to fraction form
    277,832.28/383,408.16 = 150,508.38/x
  3. Step 3: Cross multiply
    277,832.28x = 383,408.16 × 150,508.38
  4. Step 4: Simplify right side
    277,832.28x = 57,706,141,040.38
  5. Step 5: Solve for x
    x = 57,706,141,040.38/277,832.28
  6. Step 6: Final answer
    x = 207,701.36

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Why These Related Problems?

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