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Finding the Fourth Proportional to 649,709.30, 973,909.51 and 270,839.63

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Solution

The fourth proportional to 649,709.30, 973,909.51 and 270,839.63 is: 405,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,709.30 : 973,909.51 = 270,839.63 : x
  2. Step 2: Convert to fraction form
    649,709.30/973,909.51 = 270,839.63/x
  3. Step 3: Cross multiply
    649,709.30x = 973,909.51 × 270,839.63
  4. Step 4: Simplify right side
    649,709.30x = 263,773,293,099.56
  5. Step 5: Solve for x
    x = 263,773,293,099.56/649,709.30
  6. Step 6: Final answer
    x = 405,986.63

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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.