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Finding the Fourth Proportional to 302,551.29, 417,517.44 and 166,581.74

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Solution

The fourth proportional to 302,551.29, 417,517.44 and 166,581.74 is: 229,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,551.29 : 417,517.44 = 166,581.74 : x
  2. Step 2: Convert to fraction form
    302,551.29/417,517.44 = 166,581.74/x
  3. Step 3: Cross multiply
    302,551.29x = 417,517.44 × 166,581.74
  4. Step 4: Simplify right side
    302,551.29x = 69,550,780,880.39
  5. Step 5: Solve for x
    x = 69,550,780,880.39/302,551.29
  6. Step 6: Final answer
    x = 229,880.96

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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.