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Finding the Fourth Proportional to 309,238.14, 427,008.72 and 232,624.44

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Solution

The fourth proportional to 309,238.14, 427,008.72 and 232,624.44 is: 321,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,238.14 : 427,008.72 = 232,624.44 : x
  2. Step 2: Convert to fraction form
    309,238.14/427,008.72 = 232,624.44/x
  3. Step 3: Cross multiply
    309,238.14x = 427,008.72 × 232,624.44
  4. Step 4: Simplify right side
    309,238.14x = 99,332,664,365.12
  5. Step 5: Solve for x
    x = 99,332,664,365.12/309,238.14
  6. Step 6: Final answer
    x = 321,217.38

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Why These Related Problems?

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