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Finding the Fourth Proportional to 296,045.88, 408,546.54 and 161,907

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Solution

The fourth proportional to 296,045.88, 408,546.54 and 161,907 is: 223,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,045.88 : 408,546.54 = 161,907 : x
  2. Step 2: Convert to fraction form
    296,045.88/408,546.54 = 161,907/x
  3. Step 3: Cross multiply
    296,045.88x = 408,546.54 × 161,907
  4. Step 4: Simplify right side
    296,045.88x = 66,146,544,651.78
  5. Step 5: Solve for x
    x = 66,146,544,651.78/296,045.88
  6. Step 6: Final answer
    x = 223,433.42

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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.