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Finding the Fourth Proportional to 277,832.41, 383,408.72 and 150,508.00

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Solution

The fourth proportional to 277,832.41, 383,408.72 and 150,508.00 is: 207,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,832.41 : 383,408.72 = 150,508.00 : x
  2. Step 2: Convert to fraction form
    277,832.41/383,408.72 = 150,508.00/x
  3. Step 3: Cross multiply
    277,832.41x = 383,408.72 × 150,508.00
  4. Step 4: Simplify right side
    277,832.41x = 57,706,079,920.89
  5. Step 5: Solve for x
    x = 57,706,079,920.89/277,832.41
  6. Step 6: Final answer
    x = 207,701.04

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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.