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Finding the Fourth Proportional to 512,784.60, 769,869.45 and 299,770.80

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Solution

The fourth proportional to 512,784.60, 769,869.45 and 299,770.80 is: 450,061.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,784.60 : 769,869.45 = 299,770.80 : x
  2. Step 2: Convert to fraction form
    512,784.60/769,869.45 = 299,770.80/x
  3. Step 3: Cross multiply
    512,784.60x = 769,869.45 × 299,770.80
  4. Step 4: Simplify right side
    512,784.60x = 230,784,380,922.06
  5. Step 5: Solve for x
    x = 230,784,380,922.06/512,784.60
  6. Step 6: Final answer
    x = 450,061.06

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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.