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Finding the Fourth Proportional to 256,410.72, 384,546.96 and 116,028

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Solution

The fourth proportional to 256,410.72, 384,546.96 and 116,028 is: 174,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,410.72 : 384,546.96 = 116,028 : x
  2. Step 2: Convert to fraction form
    256,410.72/384,546.96 = 116,028/x
  3. Step 3: Cross multiply
    256,410.72x = 384,546.96 × 116,028
  4. Step 4: Simplify right side
    256,410.72x = 44,618,214,674.88
  5. Step 5: Solve for x
    x = 44,618,214,674.88/256,410.72
  6. Step 6: Final answer
    x = 174,010.72

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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.