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Finding the Fourth Proportional to 359,915.42, 496,687.02 and 198,774.56

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Solution

The fourth proportional to 359,915.42, 496,687.02 and 198,774.56 is: 274,310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,915.42 : 496,687.02 = 198,774.56 : x
  2. Step 2: Convert to fraction form
    359,915.42/496,687.02 = 198,774.56/x
  3. Step 3: Cross multiply
    359,915.42x = 496,687.02 × 198,774.56
  4. Step 4: Simplify right side
    359,915.42x = 98,728,743,858.21
  5. Step 5: Solve for x
    x = 98,728,743,858.21/359,915.42
  6. Step 6: Final answer
    x = 274,310.96

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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.