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Finding the Fourth Proportional to 512,145.43, 769,214.04 and 417,445.09

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Solution

The fourth proportional to 512,145.43, 769,214.04 and 417,445.09 is: 626,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,145.43 : 769,214.04 = 417,445.09 : x
  2. Step 2: Convert to fraction form
    512,145.43/769,214.04 = 417,445.09/x
  3. Step 3: Cross multiply
    512,145.43x = 769,214.04 × 417,445.09
  4. Step 4: Simplify right side
    512,145.43x = 321,104,624,157.06
  5. Step 5: Solve for x
    x = 321,104,624,157.06/512,145.43
  6. Step 6: Final answer
    x = 626,979.38

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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.