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Finding the Fourth Proportional to 321,718.08, 443,982.80 and 194,369

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Solution

The fourth proportional to 321,718.08, 443,982.80 and 194,369 is: 268,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,718.08 : 443,982.80 = 194,369 : x
  2. Step 2: Convert to fraction form
    321,718.08/443,982.80 = 194,369/x
  3. Step 3: Cross multiply
    321,718.08x = 443,982.80 × 194,369
  4. Step 4: Simplify right side
    321,718.08x = 86,296,492,853.20
  5. Step 5: Solve for x
    x = 86,296,492,853.20/321,718.08
  6. Step 6: Final answer
    x = 268,236.38

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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.