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Finding the Fourth Proportional to 494,097.84, 681,855.37 and 267,743.34

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Solution

The fourth proportional to 494,097.84, 681,855.37 and 267,743.34 is: 369,486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,097.84 : 681,855.37 = 267,743.34 : x
  2. Step 2: Convert to fraction form
    494,097.84/681,855.37 = 267,743.34/x
  3. Step 3: Cross multiply
    494,097.84x = 681,855.37 × 267,743.34
  4. Step 4: Simplify right side
    494,097.84x = 182,562,233,491.38
  5. Step 5: Solve for x
    x = 182,562,233,491.38/494,097.84
  6. Step 6: Final answer
    x = 369,486.00

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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.