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Finding the Fourth Proportional to 304,215.36, 419,800.20 and 166,367.08

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Solution

The fourth proportional to 304,215.36, 419,800.20 and 166,367.08 is: 229,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,215.36 : 419,800.20 = 166,367.08 : x
  2. Step 2: Convert to fraction form
    304,215.36/419,800.20 = 166,367.08/x
  3. Step 3: Cross multiply
    304,215.36x = 419,800.20 × 166,367.08
  4. Step 4: Simplify right side
    304,215.36x = 69,840,933,457.42
  5. Step 5: Solve for x
    x = 69,840,933,457.42/304,215.36
  6. Step 6: Final answer
    x = 229,577.28

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1.5x scale

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.