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Finding the Fourth Proportional to 354,361.69, 531,166.56 and 174,193.12

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Solution

The fourth proportional to 354,361.69, 531,166.56 and 174,193.12 is: 261,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,361.69 : 531,166.56 = 174,193.12 : x
  2. Step 2: Convert to fraction form
    354,361.69/531,166.56 = 174,193.12/x
  3. Step 3: Cross multiply
    354,361.69x = 531,166.56 × 174,193.12
  4. Step 4: Simplify right side
    354,361.69x = 92,525,560,326.07
  5. Step 5: Solve for x
    x = 92,525,560,326.07/354,361.69
  6. Step 6: Final answer
    x = 261,104.86

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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.