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Finding the Fourth Proportional to 586,414.49, 809,183.72 and 328,305.56

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Solution

The fourth proportional to 586,414.49, 809,183.72 and 328,305.56 is: 453,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,414.49 : 809,183.72 = 328,305.56 : x
  2. Step 2: Convert to fraction form
    586,414.49/809,183.72 = 328,305.56/x
  3. Step 3: Cross multiply
    586,414.49x = 809,183.72 × 328,305.56
  4. Step 4: Simplify right side
    586,414.49x = 265,659,511,112.33
  5. Step 5: Solve for x
    x = 265,659,511,112.33/586,414.49
  6. Step 6: Final answer
    x = 453,023.45

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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.