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Finding the Fourth Proportional to 330,027, 494,961.21 and 152,363.32

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Solution

The fourth proportional to 330,027, 494,961.21 and 152,363.32 is: 228,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,027 : 494,961.21 = 152,363.32 : x
  2. Step 2: Convert to fraction form
    330,027/494,961.21 = 152,363.32/x
  3. Step 3: Cross multiply
    330,027x = 494,961.21 × 152,363.32
  4. Step 4: Simplify right side
    330,027x = 75,413,933,226.82
  5. Step 5: Solve for x
    x = 75,413,933,226.82/330,027
  6. Step 6: Final answer
    x = 228,508.37

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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.