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Finding the Fourth Proportional to 294,958.28, 407,076.98 and 167,653.01

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Solution

The fourth proportional to 294,958.28, 407,076.98 and 167,653.01 is: 231,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,958.28 : 407,076.98 = 167,653.01 : x
  2. Step 2: Convert to fraction form
    294,958.28/407,076.98 = 167,653.01/x
  3. Step 3: Cross multiply
    294,958.28x = 407,076.98 × 167,653.01
  4. Step 4: Simplify right side
    294,958.28x = 68,247,678,125.06
  5. Step 5: Solve for x
    x = 68,247,678,125.06/294,958.28
  6. Step 6: Final answer
    x = 231,380.79

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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.