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Finding the Fourth Proportional to 441,384.40, 661,396.20 and 328,535.20

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Solution

The fourth proportional to 441,384.40, 661,396.20 and 328,535.20 is: 492,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,384.40 : 661,396.20 = 328,535.20 : x
  2. Step 2: Convert to fraction form
    441,384.40/661,396.20 = 328,535.20/x
  3. Step 3: Cross multiply
    441,384.40x = 661,396.20 × 328,535.20
  4. Step 4: Simplify right side
    441,384.40x = 217,291,932,846.24
  5. Step 5: Solve for x
    x = 217,291,932,846.24/441,384.40
  6. Step 6: Final answer
    x = 492,296.36

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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.