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Finding the Fourth Proportional to 413,949.32, 571,243.24 and 230,180.56

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Solution

The fourth proportional to 413,949.32, 571,243.24 and 230,180.56 is: 317,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,949.32 : 571,243.24 = 230,180.56 : x
  2. Step 2: Convert to fraction form
    413,949.32/571,243.24 = 230,180.56/x
  3. Step 3: Cross multiply
    413,949.32x = 571,243.24 × 230,180.56
  4. Step 4: Simplify right side
    413,949.32x = 131,489,088,879.41
  5. Step 5: Solve for x
    x = 131,489,088,879.41/413,949.32
  6. Step 6: Final answer
    x = 317,645.38

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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.