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Finding the Fourth Proportional to 413,930.34, 571,229.01 and 250,584.68

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Solution

The fourth proportional to 413,930.34, 571,229.01 and 250,584.68 is: 345,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,930.34 : 571,229.01 = 250,584.68 : x
  2. Step 2: Convert to fraction form
    413,930.34/571,229.01 = 250,584.68/x
  3. Step 3: Cross multiply
    413,930.34x = 571,229.01 × 250,584.68
  4. Step 4: Simplify right side
    413,930.34x = 143,141,240,105.64
  5. Step 5: Solve for x
    x = 143,141,240,105.64/413,930.34
  6. Step 6: Final answer
    x = 345,809.97

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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.