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Finding the Fourth Proportional to 277,544, 383,010 and 150,219.56

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Solution

The fourth proportional to 277,544, 383,010 and 150,219.56 is: 207,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,544 : 383,010 = 150,219.56 : x
  2. Step 2: Convert to fraction form
    277,544/383,010 = 150,219.56/x
  3. Step 3: Cross multiply
    277,544x = 383,010 × 150,219.56
  4. Step 4: Simplify right side
    277,544x = 57,535,593,675.60
  5. Step 5: Solve for x
    x = 57,535,593,675.60/277,544
  6. Step 6: Final answer
    x = 207,302.60

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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.