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Finding the Fourth Proportional to 311,896.36, 430,027.02 and 260,287.84

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Solution

The fourth proportional to 311,896.36, 430,027.02 and 260,287.84 is: 358,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,896.36 : 430,027.02 = 260,287.84 : x
  2. Step 2: Convert to fraction form
    311,896.36/430,027.02 = 260,287.84/x
  3. Step 3: Cross multiply
    311,896.36x = 430,027.02 × 260,287.84
  4. Step 4: Simplify right side
    311,896.36x = 111,930,804,177.44
  5. Step 5: Solve for x
    x = 111,930,804,177.44/311,896.36
  6. Step 6: Final answer
    x = 358,871.79

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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.