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Finding the Fourth Proportional to 304,188.42, 419,769.02 and 166,362.64

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Solution

The fourth proportional to 304,188.42, 419,769.02 and 166,362.64 is: 229,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,188.42 : 419,769.02 = 166,362.64 : x
  2. Step 2: Convert to fraction form
    304,188.42/419,769.02 = 166,362.64/x
  3. Step 3: Cross multiply
    304,188.42x = 419,769.02 × 166,362.64
  4. Step 4: Simplify right side
    304,188.42x = 69,833,883,298.03
  5. Step 5: Solve for x
    x = 69,833,883,298.03/304,188.42
  6. Step 6: Final answer
    x = 229,574.43

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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.