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Finding the Fourth Proportional to 359,509.94, 496,134.10 and 198,375.37

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Solution

The fourth proportional to 359,509.94, 496,134.10 and 198,375.37 is: 273,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,509.94 : 496,134.10 = 198,375.37 : x
  2. Step 2: Convert to fraction form
    359,509.94/496,134.10 = 198,375.37/x
  3. Step 3: Cross multiply
    359,509.94x = 496,134.10 × 198,375.37
  4. Step 4: Simplify right side
    359,509.94x = 98,420,784,664.75
  5. Step 5: Solve for x
    x = 98,420,784,664.75/359,509.94
  6. Step 6: Final answer
    x = 273,763.74

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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.