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Finding the Fourth Proportional to 295,376.28, 407,614.02 and 168,049.14

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Solution

The fourth proportional to 295,376.28, 407,614.02 and 168,049.14 is: 231,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,376.28 : 407,614.02 = 168,049.14 : x
  2. Step 2: Convert to fraction form
    295,376.28/407,614.02 = 168,049.14/x
  3. Step 3: Cross multiply
    295,376.28x = 407,614.02 × 168,049.14
  4. Step 4: Simplify right side
    295,376.28x = 68,499,185,512.94
  5. Step 5: Solve for x
    x = 68,499,185,512.94/295,376.28
  6. Step 6: Final answer
    x = 231,904.83

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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.