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Finding the Fourth Proportional to 546,896.98, 754,760.80 and 301,930.43

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Solution

The fourth proportional to 546,896.98, 754,760.80 and 301,930.43 is: 416,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,896.98 : 754,760.80 = 301,930.43 : x
  2. Step 2: Convert to fraction form
    546,896.98/754,760.80 = 301,930.43/x
  3. Step 3: Cross multiply
    546,896.98x = 754,760.80 × 301,930.43
  4. Step 4: Simplify right side
    546,896.98x = 227,885,252,891.14
  5. Step 5: Solve for x
    x = 227,885,252,891.14/546,896.98
  6. Step 6: Final answer
    x = 416,687.71

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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.