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Finding the Fourth Proportional to 302,441.94, 417,371.38 and 166,489.56

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Solution

The fourth proportional to 302,441.94, 417,371.38 and 166,489.56 is: 229,756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,441.94 : 417,371.38 = 166,489.56 : x
  2. Step 2: Convert to fraction form
    302,441.94/417,371.38 = 166,489.56/x
  3. Step 3: Cross multiply
    302,441.94x = 417,371.38 × 166,489.56
  4. Step 4: Simplify right side
    302,441.94x = 69,487,977,412.79
  5. Step 5: Solve for x
    x = 69,487,977,412.79/302,441.94
  6. Step 6: Final answer
    x = 229,756.42

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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.