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Finding the Fourth Proportional to 396,383.66, 594,666.35 and 171,781.80

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Solution

The fourth proportional to 396,383.66, 594,666.35 and 171,781.80 is: 257,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,383.66 : 594,666.35 = 171,781.80 : x
  2. Step 2: Convert to fraction form
    396,383.66/594,666.35 = 171,781.80/x
  3. Step 3: Cross multiply
    396,383.66x = 594,666.35 × 171,781.80
  4. Step 4: Simplify right side
    396,383.66x = 102,152,855,143.52
  5. Step 5: Solve for x
    x = 102,152,855,143.52/396,383.66
  6. Step 6: Final answer
    x = 257,712.08

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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.