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Finding the Fourth Proportional to 586,394.80, 809,185.19 and 324,731.30

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Solution

The fourth proportional to 586,394.80, 809,185.19 and 324,731.30 is: 448,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,394.80 : 809,185.19 = 324,731.30 : x
  2. Step 2: Convert to fraction form
    586,394.80/809,185.19 = 324,731.30/x
  3. Step 3: Cross multiply
    586,394.80x = 809,185.19 × 324,731.30
  4. Step 4: Simplify right side
    586,394.80x = 262,767,761,673.98
  5. Step 5: Solve for x
    x = 262,767,761,673.98/586,394.80
  6. Step 6: Final answer
    x = 448,107.25

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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.