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Finding the Fourth Proportional to 302,593.80, 417,582.57 and 166,640.40

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Solution

The fourth proportional to 302,593.80, 417,582.57 and 166,640.40 is: 229,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,593.80 : 417,582.57 = 166,640.40 : x
  2. Step 2: Convert to fraction form
    302,593.80/417,582.57 = 166,640.40/x
  3. Step 3: Cross multiply
    302,593.80x = 417,582.57 × 166,640.40
  4. Step 4: Simplify right side
    302,593.80x = 69,586,126,497.83
  5. Step 5: Solve for x
    x = 69,586,126,497.83/302,593.80
  6. Step 6: Final answer
    x = 229,965.47

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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.