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Finding the Fourth Proportional to 302,856.46, 417,936.17 and 166,902.97

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Solution

The fourth proportional to 302,856.46, 417,936.17 and 166,902.97 is: 230,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,856.46 : 417,936.17 = 166,902.97 : x
  2. Step 2: Convert to fraction form
    302,856.46/417,936.17 = 166,902.97/x
  3. Step 3: Cross multiply
    302,856.46x = 417,936.17 × 166,902.97
  4. Step 4: Simplify right side
    302,856.46x = 69,754,788,043.42
  5. Step 5: Solve for x
    x = 69,754,788,043.42/302,856.46
  6. Step 6: Final answer
    x = 230,322.93

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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.