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Finding the Fourth Proportional to 512,596.38, 707,353.68 and 306,097.79

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Solution

The fourth proportional to 512,596.38, 707,353.68 and 306,097.79 is: 422,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,596.38 : 707,353.68 = 306,097.79 : x
  2. Step 2: Convert to fraction form
    512,596.38/707,353.68 = 306,097.79/x
  3. Step 3: Cross multiply
    512,596.38x = 707,353.68 × 306,097.79
  4. Step 4: Simplify right side
    512,596.38x = 216,519,394,659.60
  5. Step 5: Solve for x
    x = 216,519,394,659.60/512,596.38
  6. Step 6: Final answer
    x = 422,397.43

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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.