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Finding the Fourth Proportional to 512,945.91, 769,382.42 and 157,922.91

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Solution

The fourth proportional to 512,945.91, 769,382.42 and 157,922.91 is: 236,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,945.91 : 769,382.42 = 157,922.91 : x
  2. Step 2: Convert to fraction form
    512,945.91/769,382.42 = 157,922.91/x
  3. Step 3: Cross multiply
    512,945.91x = 769,382.42 × 157,922.91
  4. Step 4: Simplify right side
    512,945.91x = 121,503,109,879.63
  5. Step 5: Solve for x
    x = 121,503,109,879.63/512,945.91
  6. Step 6: Final answer
    x = 236,873.14

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1.5x scale

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.