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Finding the Fourth Proportional to 302,778.73, 417,835.04 and 164,956.97

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Solution

The fourth proportional to 302,778.73, 417,835.04 and 164,956.97 is: 227,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,778.73 : 417,835.04 = 164,956.97 : x
  2. Step 2: Convert to fraction form
    302,778.73/417,835.04 = 164,956.97/x
  3. Step 3: Cross multiply
    302,778.73x = 417,835.04 × 164,956.97
  4. Step 4: Simplify right side
    302,778.73x = 68,924,802,158.23
  5. Step 5: Solve for x
    x = 68,924,802,158.23/302,778.73
  6. Step 6: Final answer
    x = 227,640.83

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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.