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Finding the Fourth Proportional to 359,513.82, 496,125.18 and 198,375.66

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Solution

The fourth proportional to 359,513.82, 496,125.18 and 198,375.66 is: 273,756.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,513.82 : 496,125.18 = 198,375.66 : x
  2. Step 2: Convert to fraction form
    359,513.82/496,125.18 = 198,375.66/x
  3. Step 3: Cross multiply
    359,513.82x = 496,125.18 × 198,375.66
  4. Step 4: Simplify right side
    359,513.82x = 98,419,160,025.12
  5. Step 5: Solve for x
    x = 98,419,160,025.12/359,513.82
  6. Step 6: Final answer
    x = 273,756.26

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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.