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Finding the Fourth Proportional to 443,465.60, 665,198.40 and 194,633.60

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Solution

The fourth proportional to 443,465.60, 665,198.40 and 194,633.60 is: 291,950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,465.60 : 665,198.40 = 194,633.60 : x
  2. Step 2: Convert to fraction form
    443,465.60/665,198.40 = 194,633.60/x
  3. Step 3: Cross multiply
    443,465.60x = 665,198.40 × 194,633.60
  4. Step 4: Simplify right side
    443,465.60x = 129,469,959,306.24
  5. Step 5: Solve for x
    x = 129,469,959,306.24/443,465.60
  6. Step 6: Final answer
    x = 291,950.40

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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.