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Finding the Fourth Proportional to 547,747.43, 821,930.56 and 295,022.57

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Solution

The fourth proportional to 547,747.43, 821,930.56 and 295,022.57 is: 442,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,747.43 : 821,930.56 = 295,022.57 : x
  2. Step 2: Convert to fraction form
    547,747.43/821,930.56 = 295,022.57/x
  3. Step 3: Cross multiply
    547,747.43x = 821,930.56 × 295,022.57
  4. Step 4: Simplify right side
    547,747.43x = 242,488,061,325.53
  5. Step 5: Solve for x
    x = 242,488,061,325.53/547,747.43
  6. Step 6: Final answer
    x = 442,700.50

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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.