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Finding the Fourth Proportional to 649,046.40, 973,396.80 and 199,766.40

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Solution

The fourth proportional to 649,046.40, 973,396.80 and 199,766.40 is: 299,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,046.40 : 973,396.80 = 199,766.40 : x
  2. Step 2: Convert to fraction form
    649,046.40/973,396.80 = 199,766.40/x
  3. Step 3: Cross multiply
    649,046.40x = 973,396.80 × 199,766.40
  4. Step 4: Simplify right side
    649,046.40x = 194,451,974,507.52
  5. Step 5: Solve for x
    x = 194,451,974,507.52/649,046.40
  6. Step 6: Final answer
    x = 299,596.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.