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Finding the Fourth Proportional to 359,679.97, 496,358.41 and 198,535.06

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Solution

The fourth proportional to 359,679.97, 496,358.41 and 198,535.06 is: 273,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,679.97 : 496,358.41 = 198,535.06 : x
  2. Step 2: Convert to fraction form
    359,679.97/496,358.41 = 198,535.06/x
  3. Step 3: Cross multiply
    359,679.97x = 496,358.41 × 198,535.06
  4. Step 4: Simplify right side
    359,679.97x = 98,544,544,973.62
  5. Step 5: Solve for x
    x = 98,544,544,973.62/359,679.97
  6. Step 6: Final answer
    x = 273,978.41

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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.