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Finding the Fourth Proportional to 359,745, 496,456.02 and 198,599.64

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Solution

The fourth proportional to 359,745, 496,456.02 and 198,599.64 is: 274,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,745 : 496,456.02 = 198,599.64 : x
  2. Step 2: Convert to fraction form
    359,745/496,456.02 = 198,599.64/x
  3. Step 3: Cross multiply
    359,745x = 496,456.02 × 198,599.64
  4. Step 4: Simplify right side
    359,745x = 98,595,986,847.83
  5. Step 5: Solve for x
    x = 98,595,986,847.83/359,745
  6. Step 6: Final answer
    x = 274,071.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.