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Finding the Fourth Proportional to 512,807.10, 769,903.20 and 299,793.30

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Solution

The fourth proportional to 512,807.10, 769,903.20 and 299,793.30 is: 450,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,807.10 : 769,903.20 = 299,793.30 : x
  2. Step 2: Convert to fraction form
    512,807.10/769,903.20 = 299,793.30/x
  3. Step 3: Cross multiply
    512,807.10x = 769,903.20 × 299,793.30
  4. Step 4: Simplify right side
    512,807.10x = 230,811,821,008.56
  5. Step 5: Solve for x
    x = 230,811,821,008.56/512,807.10
  6. Step 6: Final answer
    x = 450,094.82

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Why These Related Problems?

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