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Finding the Fourth Proportional to 410,818.41, 616,219.41 and 186,136.97

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Solution

The fourth proportional to 410,818.41, 616,219.41 and 186,136.97 is: 279,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,818.41 : 616,219.41 = 186,136.97 : x
  2. Step 2: Convert to fraction form
    410,818.41/616,219.41 = 186,136.97/x
  3. Step 3: Cross multiply
    410,818.41x = 616,219.41 × 186,136.97
  4. Step 4: Simplify right side
    410,818.41x = 114,701,210,751.49
  5. Step 5: Solve for x
    x = 114,701,210,751.49/410,818.41
  6. Step 6: Final answer
    x = 279,201.73

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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.