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Finding the Fourth Proportional to 311,865.44, 467,848.65 and 122,223.00

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Solution

The fourth proportional to 311,865.44, 467,848.65 and 122,223.00 is: 183,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,865.44 : 467,848.65 = 122,223.00 : x
  2. Step 2: Convert to fraction form
    311,865.44/467,848.65 = 122,223.00/x
  3. Step 3: Cross multiply
    311,865.44x = 467,848.65 × 122,223.00
  4. Step 4: Simplify right side
    311,865.44x = 57,181,864,379.33
  5. Step 5: Solve for x
    x = 57,181,864,379.33/311,865.44
  6. Step 6: Final answer
    x = 183,354.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.