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Finding the Fourth Proportional to 494,426.88, 741,639.96 and 178,810.20

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Solution

The fourth proportional to 494,426.88, 741,639.96 and 178,810.20 is: 268,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,426.88 : 741,639.96 = 178,810.20 : x
  2. Step 2: Convert to fraction form
    494,426.88/741,639.96 = 178,810.20/x
  3. Step 3: Cross multiply
    494,426.88x = 741,639.96 × 178,810.20
  4. Step 4: Simplify right side
    494,426.88x = 132,612,789,575.59
  5. Step 5: Solve for x
    x = 132,612,789,575.59/494,426.88
  6. Step 6: Final answer
    x = 268,215.17

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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.