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Finding the Fourth Proportional to 339,794.60, 510,080.70 and 199,632.20

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Solution

The fourth proportional to 339,794.60, 510,080.70 and 199,632.20 is: 299,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,794.60 : 510,080.70 = 199,632.20 : x
  2. Step 2: Convert to fraction form
    339,794.60/510,080.70 = 199,632.20/x
  3. Step 3: Cross multiply
    339,794.60x = 510,080.70 × 199,632.20
  4. Step 4: Simplify right side
    339,794.60x = 101,828,532,318.54
  5. Step 5: Solve for x
    x = 101,828,532,318.54/339,794.60
  6. Step 6: Final answer
    x = 299,676.72

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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.