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Finding the Fourth Proportional to 538,908.94, 743,684.52 and 297,213.94

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Solution

The fourth proportional to 538,908.94, 743,684.52 and 297,213.94 is: 410,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,908.94 : 743,684.52 = 297,213.94 : x
  2. Step 2: Convert to fraction form
    538,908.94/743,684.52 = 297,213.94/x
  3. Step 3: Cross multiply
    538,908.94x = 743,684.52 × 297,213.94
  4. Step 4: Simplify right side
    538,908.94x = 221,033,406,306.21
  5. Step 5: Solve for x
    x = 221,033,406,306.21/538,908.94
  6. Step 6: Final answer
    x = 410,149.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.