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Finding the Fourth Proportional to 302,474.46, 417,400.44 and 166,505.64

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Solution

The fourth proportional to 302,474.46, 417,400.44 and 166,505.64 is: 229,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,474.46 : 417,400.44 = 166,505.64 : x
  2. Step 2: Convert to fraction form
    302,474.46/417,400.44 = 166,505.64/x
  3. Step 3: Cross multiply
    302,474.46x = 417,400.44 × 166,505.64
  4. Step 4: Simplify right side
    302,474.46x = 69,499,527,398.48
  5. Step 5: Solve for x
    x = 69,499,527,398.48/302,474.46
  6. Step 6: Final answer
    x = 229,769.90

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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.