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Finding the Fourth Proportional to 512,697.90, 769,046.88 and 335,354.06

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Solution

The fourth proportional to 512,697.90, 769,046.88 and 335,354.06 is: 503,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,697.90 : 769,046.88 = 335,354.06 : x
  2. Step 2: Convert to fraction form
    512,697.90/769,046.88 = 335,354.06/x
  3. Step 3: Cross multiply
    512,697.90x = 769,046.88 × 335,354.06
  4. Step 4: Simplify right side
    512,697.90x = 257,902,993,538.33
  5. Step 5: Solve for x
    x = 257,902,993,538.33/512,697.90
  6. Step 6: Final answer
    x = 503,031.11

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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.