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Finding the Fourth Proportional to 344,843.72, 516,593.16 and 194,629.64

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Solution

The fourth proportional to 344,843.72, 516,593.16 and 194,629.64 is: 291,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,843.72 : 516,593.16 = 194,629.64 : x
  2. Step 2: Convert to fraction form
    344,843.72/516,593.16 = 194,629.64/x
  3. Step 3: Cross multiply
    344,843.72x = 516,593.16 × 194,629.64
  4. Step 4: Simplify right side
    344,843.72x = 100,544,340,757.26
  5. Step 5: Solve for x
    x = 100,544,340,757.26/344,843.72
  6. Step 6: Final answer
    x = 291,564.95

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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.