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Finding the Fourth Proportional to 304,076.89, 419,623.90 and 168,116.77

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Solution

The fourth proportional to 304,076.89, 419,623.90 and 168,116.77 is: 231,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,076.89 : 419,623.90 = 168,116.77 : x
  2. Step 2: Convert to fraction form
    304,076.89/419,623.90 = 168,116.77/x
  3. Step 3: Cross multiply
    304,076.89x = 419,623.90 × 168,116.77
  4. Step 4: Simplify right side
    304,076.89x = 70,545,814,682.80
  5. Step 5: Solve for x
    x = 70,545,814,682.80/304,076.89
  6. Step 6: Final answer
    x = 231,999.92

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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.