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Finding the Fourth Proportional to 538,909.44, 743,685.21 and 297,214.44

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Solution

The fourth proportional to 538,909.44, 743,685.21 and 297,214.44 is: 410,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,909.44 : 743,685.21 = 297,214.44 : x
  2. Step 2: Convert to fraction form
    538,909.44/743,685.21 = 297,214.44/x
  3. Step 3: Cross multiply
    538,909.44x = 743,685.21 × 297,214.44
  4. Step 4: Simplify right side
    538,909.44x = 221,033,983,226.43
  5. Step 5: Solve for x
    x = 221,033,983,226.43/538,909.44
  6. Step 6: Final answer
    x = 410,150.51

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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.