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Finding the Fourth Proportional to 359,568.46, 496,214.98 and 198,433.92

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Solution

The fourth proportional to 359,568.46, 496,214.98 and 198,433.92 is: 273,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,568.46 : 496,214.98 = 198,433.92 : x
  2. Step 2: Convert to fraction form
    359,568.46/496,214.98 = 198,433.92/x
  3. Step 3: Cross multiply
    359,568.46x = 496,214.98 × 198,433.92
  4. Step 4: Simplify right side
    359,568.46x = 98,465,883,644.12
  5. Step 5: Solve for x
    x = 98,465,883,644.12/359,568.46
  6. Step 6: Final answer
    x = 273,844.61

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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.