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Finding the Fourth Proportional to 321,714.42, 443,966.43 and 178,474.47

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Solution

The fourth proportional to 321,714.42, 443,966.43 and 178,474.47 is: 246,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,714.42 : 443,966.43 = 178,474.47 : x
  2. Step 2: Convert to fraction form
    321,714.42/443,966.43 = 178,474.47/x
  3. Step 3: Cross multiply
    321,714.42x = 443,966.43 × 178,474.47
  4. Step 4: Simplify right side
    321,714.42x = 79,236,673,292.04
  5. Step 5: Solve for x
    x = 79,236,673,292.04/321,714.42
  6. Step 6: Final answer
    x = 246,295.06

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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.