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Finding the Fourth Proportional to 442,692.40, 664,384.20 and 206,064.40

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Solution

The fourth proportional to 442,692.40, 664,384.20 and 206,064.40 is: 309,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,692.40 : 664,384.20 = 206,064.40 : x
  2. Step 2: Convert to fraction form
    442,692.40/664,384.20 = 206,064.40/x
  3. Step 3: Cross multiply
    442,692.40x = 664,384.20 × 206,064.40
  4. Step 4: Simplify right side
    442,692.40x = 136,905,931,542.48
  5. Step 5: Solve for x
    x = 136,905,931,542.48/442,692.40
  6. Step 6: Final answer
    x = 309,257.47

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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.