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Finding the Fourth Proportional to 304,214.36, 419,798.83 and 166,366.08

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Solution

The fourth proportional to 304,214.36, 419,798.83 and 166,366.08 is: 229,575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,214.36 : 419,798.83 = 166,366.08 : x
  2. Step 2: Convert to fraction form
    304,214.36/419,798.83 = 166,366.08/x
  3. Step 3: Cross multiply
    304,214.36x = 419,798.83 × 166,366.08
  4. Step 4: Simplify right side
    304,214.36x = 69,840,284,903.86
  5. Step 5: Solve for x
    x = 69,840,284,903.86/304,214.36
  6. Step 6: Final answer
    x = 229,575.90

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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.