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Finding the Fourth Proportional to 543,468.30, 814,218.30 and 464,736.30

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Solution

The fourth proportional to 543,468.30, 814,218.30 and 464,736.30 is: 696,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,468.30 : 814,218.30 = 464,736.30 : x
  2. Step 2: Convert to fraction form
    543,468.30/814,218.30 = 464,736.30/x
  3. Step 3: Cross multiply
    543,468.30x = 814,218.30 × 464,736.30
  4. Step 4: Simplify right side
    543,468.30x = 378,396,800,134.29
  5. Step 5: Solve for x
    x = 378,396,800,134.29/543,468.30
  6. Step 6: Final answer
    x = 696,262.87

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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.