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Finding the Fourth Proportional to 277,406.42, 383,212.77 and 220,745.30

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Solution

The fourth proportional to 277,406.42, 383,212.77 and 220,745.30 is: 304,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,406.42 : 383,212.77 = 220,745.30 : x
  2. Step 2: Convert to fraction form
    277,406.42/383,212.77 = 220,745.30/x
  3. Step 3: Cross multiply
    277,406.42x = 383,212.77 × 220,745.30
  4. Step 4: Simplify right side
    277,406.42x = 84,592,417,877.48
  5. Step 5: Solve for x
    x = 84,592,417,877.48/277,406.42
  6. Step 6: Final answer
    x = 304,940.38

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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.