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Finding the Fourth Proportional to 321,646.06, 443,891.70 and 185,704.93

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Solution

The fourth proportional to 321,646.06, 443,891.70 and 185,704.93 is: 256,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,646.06 : 443,891.70 = 185,704.93 : x
  2. Step 2: Convert to fraction form
    321,646.06/443,891.70 = 185,704.93/x
  3. Step 3: Cross multiply
    321,646.06x = 443,891.70 × 185,704.93
  4. Step 4: Simplify right side
    321,646.06x = 82,432,877,076.08
  5. Step 5: Solve for x
    x = 82,432,877,076.08/321,646.06
  6. Step 6: Final answer
    x = 256,284.43

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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.