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Finding the Fourth Proportional to 304,220.72, 419,827.38 and 168,247.64

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Solution

The fourth proportional to 304,220.72, 419,827.38 and 168,247.64 is: 232,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,220.72 : 419,827.38 = 168,247.64 : x
  2. Step 2: Convert to fraction form
    304,220.72/419,827.38 = 168,247.64/x
  3. Step 3: Cross multiply
    304,220.72x = 419,827.38 × 168,247.64
  4. Step 4: Simplify right side
    304,220.72x = 70,634,965,892.38
  5. Step 5: Solve for x
    x = 70,634,965,892.38/304,220.72
  6. Step 6: Final answer
    x = 232,183.28

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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.