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Finding the Fourth Proportional to 396,712.94, 594,943.04 and 130,412.07

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Solution

The fourth proportional to 396,712.94, 594,943.04 and 130,412.07 is: 195,576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,712.94 : 594,943.04 = 130,412.07 : x
  2. Step 2: Convert to fraction form
    396,712.94/594,943.04 = 130,412.07/x
  3. Step 3: Cross multiply
    396,712.94x = 594,943.04 × 130,412.07
  4. Step 4: Simplify right side
    396,712.94x = 77,587,752,726.43
  5. Step 5: Solve for x
    x = 77,587,752,726.43/396,712.94
  6. Step 6: Final answer
    x = 195,576.56

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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.