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Finding the Fourth Proportional to 422,617.24, 634,029.14 and 123,093.01

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Solution

The fourth proportional to 422,617.24, 634,029.14 and 123,093.01 is: 184,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,617.24 : 634,029.14 = 123,093.01 : x
  2. Step 2: Convert to fraction form
    422,617.24/634,029.14 = 123,093.01/x
  3. Step 3: Cross multiply
    422,617.24x = 634,029.14 × 123,093.01
  4. Step 4: Simplify right side
    422,617.24x = 78,044,554,654.85
  5. Step 5: Solve for x
    x = 78,044,554,654.85/422,617.24
  6. Step 6: Final answer
    x = 184,669.60

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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.