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Finding the Fourth Proportional to 422,877.22, 634,317.96 and 107,334.23

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Solution

The fourth proportional to 422,877.22, 634,317.96 and 107,334.23 is: 161,001.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,877.22 : 634,317.96 = 107,334.23 : x
  2. Step 2: Convert to fraction form
    422,877.22/634,317.96 = 107,334.23/x
  3. Step 3: Cross multiply
    422,877.22x = 634,317.96 × 107,334.23
  4. Step 4: Simplify right side
    422,877.22x = 68,084,029,811.77
  5. Step 5: Solve for x
    x = 68,084,029,811.77/422,877.22
  6. Step 6: Final answer
    x = 161,001.89

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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.