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Finding the Fourth Proportional to 461,536, 692,304 and 129,112

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Solution

The fourth proportional to 461,536, 692,304 and 129,112 is: 193,668

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,536 : 692,304 = 129,112 : x
  2. Step 2: Convert to fraction form
    461,536/692,304 = 129,112/x
  3. Step 3: Cross multiply
    461,536x = 692,304 × 129,112
  4. Step 4: Simplify right side
    461,536x = 89,384,754,048
  5. Step 5: Solve for x
    x = 89,384,754,048/461,536
  6. Step 6: Final answer
    x = 193,668

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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.