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Finding the Fourth Proportional to 304,000.64, 419,513.56 and 166,173.44

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Solution

The fourth proportional to 304,000.64, 419,513.56 and 166,173.44 is: 229,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,000.64 : 419,513.56 = 166,173.44 : x
  2. Step 2: Convert to fraction form
    304,000.64/419,513.56 = 166,173.44/x
  3. Step 3: Cross multiply
    304,000.64x = 419,513.56 × 166,173.44
  4. Step 4: Simplify right side
    304,000.64x = 69,712,011,391.85
  5. Step 5: Solve for x
    x = 69,712,011,391.85/304,000.64
  6. Step 6: Final answer
    x = 229,315.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.