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Finding the Fourth Proportional to 442,758.86, 664,072.07 and 122,877

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Solution

The fourth proportional to 442,758.86, 664,072.07 and 122,877 is: 184,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,758.86 : 664,072.07 = 122,877 : x
  2. Step 2: Convert to fraction form
    442,758.86/664,072.07 = 122,877/x
  3. Step 3: Cross multiply
    442,758.86x = 664,072.07 × 122,877
  4. Step 4: Simplify right side
    442,758.86x = 81,599,183,131.01
  5. Step 5: Solve for x
    x = 81,599,183,131.01/442,758.86
  6. Step 6: Final answer
    x = 184,297.12

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