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Finding the Fourth Proportional to 359,712.14, 496,406.21 and 198,563.72

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Solution

The fourth proportional to 359,712.14, 496,406.21 and 198,563.72 is: 274,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,712.14 : 496,406.21 = 198,563.72 : x
  2. Step 2: Convert to fraction form
    359,712.14/496,406.21 = 198,563.72/x
  3. Step 3: Cross multiply
    359,712.14x = 496,406.21 × 198,563.72
  4. Step 4: Simplify right side
    359,712.14x = 98,568,260,213.85
  5. Step 5: Solve for x
    x = 98,568,260,213.85/359,712.14
  6. Step 6: Final answer
    x = 274,019.84

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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.