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Finding the Fourth Proportional to 494,549.71, 741,884.06 and 174,635.76

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Solution

The fourth proportional to 494,549.71, 741,884.06 and 174,635.76 is: 261,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,549.71 : 741,884.06 = 174,635.76 : x
  2. Step 2: Convert to fraction form
    494,549.71/741,884.06 = 174,635.76/x
  3. Step 3: Cross multiply
    494,549.71x = 741,884.06 × 174,635.76
  4. Step 4: Simplify right side
    494,549.71x = 129,559,486,649.99
  5. Step 5: Solve for x
    x = 129,559,486,649.99/494,549.71
  6. Step 6: Final answer
    x = 261,974.65

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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.