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Finding the Fourth Proportional to 321,646.62, 443,807.73 and 194,328.66

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Solution

The fourth proportional to 321,646.62, 443,807.73 and 194,328.66 is: 268,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,646.62 : 443,807.73 = 194,328.66 : x
  2. Step 2: Convert to fraction form
    321,646.62/443,807.73 = 194,328.66/x
  3. Step 3: Cross multiply
    321,646.62x = 443,807.73 × 194,328.66
  4. Step 4: Simplify right side
    321,646.62x = 86,244,561,468.54
  5. Step 5: Solve for x
    x = 86,244,561,468.54/321,646.62
  6. Step 6: Final answer
    x = 268,134.52

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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.