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Finding the Fourth Proportional to 304,796.26, 420,614.39 and 168,829.76

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Solution

The fourth proportional to 304,796.26, 420,614.39 and 168,829.76 is: 232,982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,796.26 : 420,614.39 = 168,829.76 : x
  2. Step 2: Convert to fraction form
    304,796.26/420,614.39 = 168,829.76/x
  3. Step 3: Cross multiply
    304,796.26x = 420,614.39 × 168,829.76
  4. Step 4: Simplify right side
    304,796.26x = 71,012,227,989.86
  5. Step 5: Solve for x
    x = 71,012,227,989.86/304,796.26
  6. Step 6: Final answer
    x = 232,982.61

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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.