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Finding the Fourth Proportional to 389,853.62, 537,940.74 and 217,750.38

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Solution

The fourth proportional to 389,853.62, 537,940.74 and 217,750.38 is: 300,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,853.62 : 537,940.74 = 217,750.38 : x
  2. Step 2: Convert to fraction form
    389,853.62/537,940.74 = 217,750.38/x
  3. Step 3: Cross multiply
    389,853.62x = 537,940.74 × 217,750.38
  4. Step 4: Simplify right side
    389,853.62x = 117,136,799,463.73
  5. Step 5: Solve for x
    x = 117,136,799,463.73/389,853.62
  6. Step 6: Final answer
    x = 300,463.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.