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Finding the Fourth Proportional to 295,376.78, 407,614.74 and 168,049.64

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Solution

The fourth proportional to 295,376.78, 407,614.74 and 168,049.64 is: 231,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,376.78 : 407,614.74 = 168,049.64 : x
  2. Step 2: Convert to fraction form
    295,376.78/407,614.74 = 168,049.64/x
  3. Step 3: Cross multiply
    295,376.78x = 407,614.74 × 168,049.64
  4. Step 4: Simplify right side
    295,376.78x = 68,499,510,315.69
  5. Step 5: Solve for x
    x = 68,499,510,315.69/295,376.78
  6. Step 6: Final answer
    x = 231,905.54

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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.