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Finding the Fourth Proportional to 359,735.31, 496,435.92 and 198,589.98

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Solution

The fourth proportional to 359,735.31, 496,435.92 and 198,589.98 is: 274,054.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,735.31 : 496,435.92 = 198,589.98 : x
  2. Step 2: Convert to fraction form
    359,735.31/496,435.92 = 198,589.98/x
  3. Step 3: Cross multiply
    359,735.31x = 496,435.92 × 198,589.98
  4. Step 4: Simplify right side
    359,735.31x = 98,587,199,424.08
  5. Step 5: Solve for x
    x = 98,587,199,424.08/359,735.31
  6. Step 6: Final answer
    x = 274,054.83

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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.