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Finding the Fourth Proportional to 441,410.40, 662,461.20 and 204,782.40

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Solution

The fourth proportional to 441,410.40, 662,461.20 and 204,782.40 is: 307,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,410.40 : 662,461.20 = 204,782.40 : x
  2. Step 2: Convert to fraction form
    441,410.40/662,461.20 = 204,782.40/x
  3. Step 3: Cross multiply
    441,410.40x = 662,461.20 × 204,782.40
  4. Step 4: Simplify right side
    441,410.40x = 135,660,394,442.88
  5. Step 5: Solve for x
    x = 135,660,394,442.88/441,410.40
  6. Step 6: Final answer
    x = 307,333.93

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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.