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Finding the Fourth Proportional to 311,964.56, 430,511.16 and 176,027.34

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Solution

The fourth proportional to 311,964.56, 430,511.16 and 176,027.34 is: 242,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,964.56 : 430,511.16 = 176,027.34 : x
  2. Step 2: Convert to fraction form
    311,964.56/430,511.16 = 176,027.34/x
  3. Step 3: Cross multiply
    311,964.56x = 430,511.16 × 176,027.34
  4. Step 4: Simplify right side
    311,964.56x = 75,781,734,335.11
  5. Step 5: Solve for x
    x = 75,781,734,335.11/311,964.56
  6. Step 6: Final answer
    x = 242,917.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.