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Finding the Fourth Proportional to 277,704.36, 383,232.24 and 150,380.10

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Solution

The fourth proportional to 277,704.36, 383,232.24 and 150,380.10 is: 207,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,704.36 : 383,232.24 = 150,380.10 : x
  2. Step 2: Convert to fraction form
    277,704.36/383,232.24 = 150,380.10/x
  3. Step 3: Cross multiply
    277,704.36x = 383,232.24 × 150,380.10
  4. Step 4: Simplify right side
    277,704.36x = 57,630,502,574.42
  5. Step 5: Solve for x
    x = 57,630,502,574.42/277,704.36
  6. Step 6: Final answer
    x = 207,524.66

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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.