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Finding the Fourth Proportional to 543,530.20, 814,517.70 and 400,257.40

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Solution

The fourth proportional to 543,530.20, 814,517.70 and 400,257.40 is: 599,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,530.20 : 814,517.70 = 400,257.40 : x
  2. Step 2: Convert to fraction form
    543,530.20/814,517.70 = 400,257.40/x
  3. Step 3: Cross multiply
    543,530.20x = 814,517.70 × 400,257.40
  4. Step 4: Simplify right side
    543,530.20x = 326,016,736,855.98
  5. Step 5: Solve for x
    x = 326,016,736,855.98/543,530.20
  6. Step 6: Final answer
    x = 599,813.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.