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Finding the Fourth Proportional to 301,956.30, 416,654.04 and 165,996

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Solution

The fourth proportional to 301,956.30, 416,654.04 and 165,996 is: 229,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,956.30 : 416,654.04 = 165,996 : x
  2. Step 2: Convert to fraction form
    301,956.30/416,654.04 = 165,996/x
  3. Step 3: Cross multiply
    301,956.30x = 416,654.04 × 165,996
  4. Step 4: Simplify right side
    301,956.30x = 69,162,904,023.84
  5. Step 5: Solve for x
    x = 69,162,904,023.84/301,956.30
  6. Step 6: Final answer
    x = 229,049.38

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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.