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Finding the Fourth Proportional to 339,430.05, 468,361.47 and 196,162.47

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Solution

The fourth proportional to 339,430.05, 468,361.47 and 196,162.47 is: 270,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,430.05 : 468,361.47 = 196,162.47 : x
  2. Step 2: Convert to fraction form
    339,430.05/468,361.47 = 196,162.47/x
  3. Step 3: Cross multiply
    339,430.05x = 468,361.47 × 196,162.47
  4. Step 4: Simplify right side
    339,430.05x = 91,874,942,808.03
  5. Step 5: Solve for x
    x = 91,874,942,808.03/339,430.05
  6. Step 6: Final answer
    x = 270,674.16

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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.