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Finding the Fourth Proportional to 359,906.22, 496,666.62 and 198,758.07

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Solution

The fourth proportional to 359,906.22, 496,666.62 and 198,758.07 is: 274,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,906.22 : 496,666.62 = 198,758.07 : x
  2. Step 2: Convert to fraction form
    359,906.22/496,666.62 = 198,758.07/x
  3. Step 3: Cross multiply
    359,906.22x = 496,666.62 × 198,758.07
  4. Step 4: Simplify right side
    359,906.22x = 98,716,498,824.62
  5. Step 5: Solve for x
    x = 98,716,498,824.62/359,906.22
  6. Step 6: Final answer
    x = 274,283.95

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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.