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Finding the Fourth Proportional to 441,434.40, 662,497.20 and 204,806.40

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Solution

The fourth proportional to 441,434.40, 662,497.20 and 204,806.40 is: 307,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,434.40 : 662,497.20 = 204,806.40 : x
  2. Step 2: Convert to fraction form
    441,434.40/662,497.20 = 204,806.40/x
  3. Step 3: Cross multiply
    441,434.40x = 662,497.20 × 204,806.40
  4. Step 4: Simplify right side
    441,434.40x = 135,683,666,542.08
  5. Step 5: Solve for x
    x = 135,683,666,542.08/441,434.40
  6. Step 6: Final answer
    x = 307,369.94

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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.