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Finding the Fourth Proportional to 494,548.71, 741,882.56 and 174,634.76

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Solution

The fourth proportional to 494,548.71, 741,882.56 and 174,634.76 is: 261,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,548.71 : 741,882.56 = 174,634.76 : x
  2. Step 2: Convert to fraction form
    494,548.71/741,882.56 = 174,634.76/x
  3. Step 3: Cross multiply
    494,548.71x = 741,882.56 × 174,634.76
  4. Step 4: Simplify right side
    494,548.71x = 129,558,478,231.20
  5. Step 5: Solve for x
    x = 129,558,478,231.20/494,548.71
  6. Step 6: Final answer
    x = 261,973.14

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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.