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Finding the Fourth Proportional to 396,347.82, 594,716.13 and 186,002.86

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Solution

The fourth proportional to 396,347.82, 594,716.13 and 186,002.86 is: 279,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,347.82 : 594,716.13 = 186,002.86 : x
  2. Step 2: Convert to fraction form
    396,347.82/594,716.13 = 186,002.86/x
  3. Step 3: Cross multiply
    396,347.82x = 594,716.13 × 186,002.86
  4. Step 4: Simplify right side
    396,347.82x = 110,618,901,068.13
  5. Step 5: Solve for x
    x = 110,618,901,068.13/396,347.82
  6. Step 6: Final answer
    x = 279,095.52

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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.