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Finding the Fourth Proportional to 294,954.21, 407,071.36 and 167,648.94

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Solution

The fourth proportional to 294,954.21, 407,071.36 and 167,648.94 is: 231,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,954.21 : 407,071.36 = 167,648.94 : x
  2. Step 2: Convert to fraction form
    294,954.21/407,071.36 = 167,648.94/x
  3. Step 3: Cross multiply
    294,954.21x = 407,071.36 × 167,648.94
  4. Step 4: Simplify right side
    294,954.21x = 68,245,082,008.36
  5. Step 5: Solve for x
    x = 68,245,082,008.36/294,954.21
  6. Step 6: Final answer
    x = 231,375.18

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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.