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Finding the Fourth Proportional to 443,451.40, 664,302.30 and 265,429.60

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Solution

The fourth proportional to 443,451.40, 664,302.30 and 265,429.60 is: 397,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,451.40 : 664,302.30 = 265,429.60 : x
  2. Step 2: Convert to fraction form
    443,451.40/664,302.30 = 265,429.60/x
  3. Step 3: Cross multiply
    443,451.40x = 664,302.30 × 265,429.60
  4. Step 4: Simplify right side
    443,451.40x = 176,325,493,768.08
  5. Step 5: Solve for x
    x = 176,325,493,768.08/443,451.40
  6. Step 6: Final answer
    x = 397,620.78

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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.