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Finding the Fourth Proportional to 311,730.56, 430,198.08 and 177,603.20

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Solution

The fourth proportional to 311,730.56, 430,198.08 and 177,603.20 is: 245,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,730.56 : 430,198.08 = 177,603.20 : x
  2. Step 2: Convert to fraction form
    311,730.56/430,198.08 = 177,603.20/x
  3. Step 3: Cross multiply
    311,730.56x = 430,198.08 × 177,603.20
  4. Step 4: Simplify right side
    311,730.56x = 76,404,555,641.86
  5. Step 5: Solve for x
    x = 76,404,555,641.86/311,730.56
  6. Step 6: Final answer
    x = 245,098.06

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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.