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Finding the Fourth Proportional to 359,696.94, 496,378.98 and 198,552.04

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Solution

The fourth proportional to 359,696.94, 496,378.98 and 198,552.04 is: 274,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,696.94 : 496,378.98 = 198,552.04 : x
  2. Step 2: Convert to fraction form
    359,696.94/496,378.98 = 198,552.04/x
  3. Step 3: Cross multiply
    359,696.94x = 496,378.98 × 198,552.04
  4. Step 4: Simplify right side
    359,696.94x = 98,557,059,092.12
  5. Step 5: Solve for x
    x = 98,557,059,092.12/359,696.94
  6. Step 6: Final answer
    x = 274,000.27

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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.