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Finding the Fourth Proportional to 512,695.89, 769,043.88 and 335,352.06

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Solution

The fourth proportional to 512,695.89, 769,043.88 and 335,352.06 is: 503,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,695.89 : 769,043.88 = 335,352.06 : x
  2. Step 2: Convert to fraction form
    512,695.89/769,043.88 = 335,352.06/x
  3. Step 3: Cross multiply
    512,695.89x = 769,043.88 × 335,352.06
  4. Step 4: Simplify right side
    512,695.89x = 257,900,449,388.39
  5. Step 5: Solve for x
    x = 257,900,449,388.39/512,695.89
  6. Step 6: Final answer
    x = 503,028.12

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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.