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Finding the Fourth Proportional to 294,963.22, 407,049.36 and 167,635.54

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Solution

The fourth proportional to 294,963.22, 407,049.36 and 167,635.54 is: 231,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,963.22 : 407,049.36 = 167,635.54 : x
  2. Step 2: Convert to fraction form
    294,963.22/407,049.36 = 167,635.54/x
  3. Step 3: Cross multiply
    294,963.22x = 407,049.36 × 167,635.54
  4. Step 4: Simplify right side
    294,963.22x = 68,235,939,270.25
  5. Step 5: Solve for x
    x = 68,235,939,270.25/294,963.22
  6. Step 6: Final answer
    x = 231,337.11

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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.