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Finding the Fourth Proportional to 317,771.91, 438,523.20 and 190,447.47

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Solution

The fourth proportional to 317,771.91, 438,523.20 and 190,447.47 is: 262,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,771.91 : 438,523.20 = 190,447.47 : x
  2. Step 2: Convert to fraction form
    317,771.91/438,523.20 = 190,447.47/x
  3. Step 3: Cross multiply
    317,771.91x = 438,523.20 × 190,447.47
  4. Step 4: Simplify right side
    317,771.91x = 83,515,633,976.30
  5. Step 5: Solve for x
    x = 83,515,633,976.30/317,771.91
  6. Step 6: Final answer
    x = 262,816.29

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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.