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Finding the Fourth Proportional to 311,648.73, 467,103.96 and 143,026.98

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Solution

The fourth proportional to 311,648.73, 467,103.96 and 143,026.98 is: 214,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,648.73 : 467,103.96 = 143,026.98 : x
  2. Step 2: Convert to fraction form
    311,648.73/467,103.96 = 143,026.98/x
  3. Step 3: Cross multiply
    311,648.73x = 467,103.96 × 143,026.98
  4. Step 4: Simplify right side
    311,648.73x = 66,808,468,744.84
  5. Step 5: Solve for x
    x = 66,808,468,744.84/311,648.73
  6. Step 6: Final answer
    x = 214,371.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.