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Finding the Fourth Proportional to 302,876.10, 417,971.79 and 166,914.90

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Solution

The fourth proportional to 302,876.10, 417,971.79 and 166,914.90 is: 230,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,876.10 : 417,971.79 = 166,914.90 : x
  2. Step 2: Convert to fraction form
    302,876.10/417,971.79 = 166,914.90/x
  3. Step 3: Cross multiply
    302,876.10x = 417,971.79 × 166,914.90
  4. Step 4: Simplify right side
    302,876.10x = 69,765,719,530.67
  5. Step 5: Solve for x
    x = 69,765,719,530.67/302,876.10
  6. Step 6: Final answer
    x = 230,344.09

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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.