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Finding the Fourth Proportional to 359,934.08, 496,706.11 and 198,800.17

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Solution

The fourth proportional to 359,934.08, 496,706.11 and 198,800.17 is: 274,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,934.08 : 496,706.11 = 198,800.17 : x
  2. Step 2: Convert to fraction form
    359,934.08/496,706.11 = 198,800.17/x
  3. Step 3: Cross multiply
    359,934.08x = 496,706.11 × 198,800.17
  4. Step 4: Simplify right side
    359,934.08x = 98,745,257,369.27
  5. Step 5: Solve for x
    x = 98,745,257,369.27/359,934.08
  6. Step 6: Final answer
    x = 274,342.62

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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.