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Finding the Fourth Proportional to 491,775.31, 678,714.60 and 276,957.37

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Solution

The fourth proportional to 491,775.31, 678,714.60 and 276,957.37 is: 382,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,775.31 : 678,714.60 = 276,957.37 : x
  2. Step 2: Convert to fraction form
    491,775.31/678,714.60 = 276,957.37/x
  3. Step 3: Cross multiply
    491,775.31x = 678,714.60 × 276,957.37
  4. Step 4: Simplify right side
    491,775.31x = 187,975,010,596.60
  5. Step 5: Solve for x
    x = 187,975,010,596.60/491,775.31
  6. Step 6: Final answer
    x = 382,237.59

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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.