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Finding the Fourth Proportional to 304,940.16, 420,500.16 and 241,176.96

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Solution

The fourth proportional to 304,940.16, 420,500.16 and 241,176.96 is: 332,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,940.16 : 420,500.16 = 241,176.96 : x
  2. Step 2: Convert to fraction form
    304,940.16/420,500.16 = 241,176.96/x
  3. Step 3: Cross multiply
    304,940.16x = 420,500.16 × 241,176.96
  4. Step 4: Simplify right side
    304,940.16x = 101,414,950,268.31
  5. Step 5: Solve for x
    x = 101,414,950,268.31/304,940.16
  6. Step 6: Final answer
    x = 332,573.28

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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.