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Finding the Fourth Proportional to 492,260.66, 738,515.51 and 137,274.71

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Solution

The fourth proportional to 492,260.66, 738,515.51 and 137,274.71 is: 205,946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,260.66 : 738,515.51 = 137,274.71 : x
  2. Step 2: Convert to fraction form
    492,260.66/738,515.51 = 137,274.71/x
  3. Step 3: Cross multiply
    492,260.66x = 738,515.51 × 137,274.71
  4. Step 4: Simplify right side
    492,260.66x = 101,379,498,086.80
  5. Step 5: Solve for x
    x = 101,379,498,086.80/492,260.66
  6. Step 6: Final answer
    x = 205,946.78

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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.