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Finding the Fourth Proportional to 312,241, 468,361.50 and 115,249

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Solution

The fourth proportional to 312,241, 468,361.50 and 115,249 is: 172,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,241 : 468,361.50 = 115,249 : x
  2. Step 2: Convert to fraction form
    312,241/468,361.50 = 115,249/x
  3. Step 3: Cross multiply
    312,241x = 468,361.50 × 115,249
  4. Step 4: Simplify right side
    312,241x = 53,978,194,513.50
  5. Step 5: Solve for x
    x = 53,978,194,513.50/312,241
  6. Step 6: Final answer
    x = 172,873.50

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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.