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Finding the Fourth Proportional to 652,137.20, 978,205.80 and 297,843.20

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Solution

The fourth proportional to 652,137.20, 978,205.80 and 297,843.20 is: 446,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,137.20 : 978,205.80 = 297,843.20 : x
  2. Step 2: Convert to fraction form
    652,137.20/978,205.80 = 297,843.20/x
  3. Step 3: Cross multiply
    652,137.20x = 978,205.80 × 297,843.20
  4. Step 4: Simplify right side
    652,137.20x = 291,351,945,730.56
  5. Step 5: Solve for x
    x = 291,351,945,730.56/652,137.20
  6. Step 6: Final answer
    x = 446,764.80

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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.