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Finding the Fourth Proportional to 359,743.22, 496,449.68 and 198,598.38

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Solution

The fourth proportional to 359,743.22, 496,449.68 and 198,598.38 is: 274,067.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,743.22 : 496,449.68 = 198,598.38 : x
  2. Step 2: Convert to fraction form
    359,743.22/496,449.68 = 198,598.38/x
  3. Step 3: Cross multiply
    359,743.22x = 496,449.68 × 198,598.38
  4. Step 4: Simplify right side
    359,743.22x = 98,594,102,199.52
  5. Step 5: Solve for x
    x = 98,594,102,199.52/359,743.22
  6. Step 6: Final answer
    x = 274,067.99

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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.