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Finding the Fourth Proportional to 304,332.86, 419,976.42 and 170,196.86

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Solution

The fourth proportional to 304,332.86, 419,976.42 and 170,196.86 is: 234,870.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,332.86 : 419,976.42 = 170,196.86 : x
  2. Step 2: Convert to fraction form
    304,332.86/419,976.42 = 170,196.86/x
  3. Step 3: Cross multiply
    304,332.86x = 419,976.42 × 170,196.86
  4. Step 4: Simplify right side
    304,332.86x = 71,478,667,958.04
  5. Step 5: Solve for x
    x = 71,478,667,958.04/304,332.86
  6. Step 6: Final answer
    x = 234,870.03

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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.