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Finding the Fourth Proportional to 359,810.56, 496,540.38 and 198,665.92

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Solution

The fourth proportional to 359,810.56, 496,540.38 and 198,665.92 is: 274,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,810.56 : 496,540.38 = 198,665.92 : x
  2. Step 2: Convert to fraction form
    359,810.56/496,540.38 = 198,665.92/x
  3. Step 3: Cross multiply
    359,810.56x = 496,540.38 × 198,665.92
  4. Step 4: Simplify right side
    359,810.56x = 98,645,651,409.85
  5. Step 5: Solve for x
    x = 98,645,651,409.85/359,810.56
  6. Step 6: Final answer
    x = 274,159.97

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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.