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Finding the Fourth Proportional to 431,906.82, 595,710.09 and 317,149.44

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Solution

The fourth proportional to 431,906.82, 595,710.09 and 317,149.44 is: 437,430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,906.82 : 595,710.09 = 317,149.44 : x
  2. Step 2: Convert to fraction form
    431,906.82/595,710.09 = 317,149.44/x
  3. Step 3: Cross multiply
    431,906.82x = 595,710.09 × 317,149.44
  4. Step 4: Simplify right side
    431,906.82x = 188,929,121,445.85
  5. Step 5: Solve for x
    x = 188,929,121,445.85/431,906.82
  6. Step 6: Final answer
    x = 437,430.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.