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Finding the Fourth Proportional to 443,691.84, 665,271.38 and 203,504.88

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Solution

The fourth proportional to 443,691.84, 665,271.38 and 203,504.88 is: 305,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,691.84 : 665,271.38 = 203,504.88 : x
  2. Step 2: Convert to fraction form
    443,691.84/665,271.38 = 203,504.88/x
  3. Step 3: Cross multiply
    443,691.84x = 665,271.38 × 203,504.88
  4. Step 4: Simplify right side
    443,691.84x = 135,385,971,336.81
  5. Step 5: Solve for x
    x = 135,385,971,336.81/443,691.84
  6. Step 6: Final answer
    x = 305,135.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.