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Finding the Fourth Proportional to 293,063.34, 439,092.28 and 196,820.14

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Solution

The fourth proportional to 293,063.34, 439,092.28 and 196,820.14 is: 294,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,063.34 : 439,092.28 = 196,820.14 : x
  2. Step 2: Convert to fraction form
    293,063.34/439,092.28 = 196,820.14/x
  3. Step 3: Cross multiply
    293,063.34x = 439,092.28 × 196,820.14
  4. Step 4: Simplify right side
    293,063.34x = 86,422,204,022.52
  5. Step 5: Solve for x
    x = 86,422,204,022.52/293,063.34
  6. Step 6: Final answer
    x = 294,892.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.