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Finding the Fourth Proportional to 302,855.72, 417,964.50 and 166,914.04

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Solution

The fourth proportional to 302,855.72, 417,964.50 and 166,914.04 is: 230,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,855.72 : 417,964.50 = 166,914.04 : x
  2. Step 2: Convert to fraction form
    302,855.72/417,964.50 = 166,914.04/x
  3. Step 3: Cross multiply
    302,855.72x = 417,964.50 × 166,914.04
  4. Step 4: Simplify right side
    302,855.72x = 69,764,143,271.58
  5. Step 5: Solve for x
    x = 69,764,143,271.58/302,855.72
  6. Step 6: Final answer
    x = 230,354.39

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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.