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Finding the Fourth Proportional to 359,498.40, 496,107.41 and 198,353.43

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Solution

The fourth proportional to 359,498.40, 496,107.41 and 198,353.43 is: 273,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,498.40 : 496,107.41 = 198,353.43 : x
  2. Step 2: Convert to fraction form
    359,498.40/496,107.41 = 198,353.43/x
  3. Step 3: Cross multiply
    359,498.40x = 496,107.41 × 198,353.43
  4. Step 4: Simplify right side
    359,498.40x = 98,404,606,421.92
  5. Step 5: Solve for x
    x = 98,404,606,421.92/359,498.40
  6. Step 6: Final answer
    x = 273,727.52

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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.