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Finding the Fourth Proportional to 359,809.56, 496,556.64 and 198,664.11

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Solution

The fourth proportional to 359,809.56, 496,556.64 and 198,664.11 is: 274,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,809.56 : 496,556.64 = 198,664.11 : x
  2. Step 2: Convert to fraction form
    359,809.56/496,556.64 = 198,664.11/x
  3. Step 3: Cross multiply
    359,809.56x = 496,556.64 × 198,664.11
  4. Step 4: Simplify right side
    359,809.56x = 98,647,982,950.19
  5. Step 5: Solve for x
    x = 98,647,982,950.19/359,809.56
  6. Step 6: Final answer
    x = 274,167.21

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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.