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Finding the Fourth Proportional to 321,394.08, 481,896.64 and 143,868

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Solution

The fourth proportional to 321,394.08, 481,896.64 and 143,868 is: 215,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,394.08 : 481,896.64 = 143,868 : x
  2. Step 2: Convert to fraction form
    321,394.08/481,896.64 = 143,868/x
  3. Step 3: Cross multiply
    321,394.08x = 481,896.64 × 143,868
  4. Step 4: Simplify right side
    321,394.08x = 69,329,505,803.52
  5. Step 5: Solve for x
    x = 69,329,505,803.52/321,394.08
  6. Step 6: Final answer
    x = 215,714.94

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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.