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Finding the Fourth Proportional to 302,683.44, 417,705.96 and 166,717.88

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Solution

The fourth proportional to 302,683.44, 417,705.96 and 166,717.88 is: 230,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,683.44 : 417,705.96 = 166,717.88 : x
  2. Step 2: Convert to fraction form
    302,683.44/417,705.96 = 166,717.88/x
  3. Step 3: Cross multiply
    302,683.44x = 417,705.96 × 166,717.88
  4. Step 4: Simplify right side
    302,683.44x = 69,639,052,114.56
  5. Step 5: Solve for x
    x = 69,639,052,114.56/302,683.44
  6. Step 6: Final answer
    x = 230,072.22

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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.