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Finding the Fourth Proportional to 294,955.21, 407,072.74 and 167,649.94

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Solution

The fourth proportional to 294,955.21, 407,072.74 and 167,649.94 is: 231,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,955.21 : 407,072.74 = 167,649.94 : x
  2. Step 2: Convert to fraction form
    294,955.21/407,072.74 = 167,649.94/x
  3. Step 3: Cross multiply
    294,955.21x = 407,072.74 × 167,649.94
  4. Step 4: Simplify right side
    294,955.21x = 68,245,720,436.64
  5. Step 5: Solve for x
    x = 68,245,720,436.64/294,955.21
  6. Step 6: Final answer
    x = 231,376.56

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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.