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Finding the Fourth Proportional to 481,416.09, 664,377.02 and 290,425.38

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Solution

The fourth proportional to 481,416.09, 664,377.02 and 290,425.38 is: 400,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,416.09 : 664,377.02 = 290,425.38 : x
  2. Step 2: Convert to fraction form
    481,416.09/664,377.02 = 290,425.38/x
  3. Step 3: Cross multiply
    481,416.09x = 664,377.02 × 290,425.38
  4. Step 4: Simplify right side
    481,416.09x = 192,951,943,722.76
  5. Step 5: Solve for x
    x = 192,951,943,722.76/481,416.09
  6. Step 6: Final answer
    x = 400,800.78

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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.