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Finding the Fourth Proportional to 390,121.38, 538,411.31 and 220,366.44

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Solution

The fourth proportional to 390,121.38, 538,411.31 and 220,366.44 is: 304,130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,121.38 : 538,411.31 = 220,366.44 : x
  2. Step 2: Convert to fraction form
    390,121.38/538,411.31 = 220,366.44/x
  3. Step 3: Cross multiply
    390,121.38x = 538,411.31 × 220,366.44
  4. Step 4: Simplify right side
    390,121.38x = 118,647,783,640.44
  5. Step 5: Solve for x
    x = 118,647,783,640.44/390,121.38
  6. Step 6: Final answer
    x = 304,130.43

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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.