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Finding the Fourth Proportional to 442,997.70, 664,496.55 and 442,997.70

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Solution

The fourth proportional to 442,997.70, 664,496.55 and 442,997.70 is: 664,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,997.70 : 664,496.55 = 442,997.70 : x
  2. Step 2: Convert to fraction form
    442,997.70/664,496.55 = 442,997.70/x
  3. Step 3: Cross multiply
    442,997.70x = 664,496.55 × 442,997.70
  4. Step 4: Simplify right side
    442,997.70x = 294,370,443,307.94
  5. Step 5: Solve for x
    x = 294,370,443,307.94/442,997.70
  6. Step 6: Final answer
    x = 664,496.55

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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.