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Finding the Fourth Proportional to 381,977, 527,137.64 and 209,893.56

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Solution

The fourth proportional to 381,977, 527,137.64 and 209,893.56 is: 289,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,977 : 527,137.64 = 209,893.56 : x
  2. Step 2: Convert to fraction form
    381,977/527,137.64 = 209,893.56/x
  3. Step 3: Cross multiply
    381,977x = 527,137.64 × 209,893.56
  4. Step 4: Simplify right side
    381,977x = 110,642,795,869.60
  5. Step 5: Solve for x
    x = 110,642,795,869.60/381,977
  6. Step 6: Final answer
    x = 289,658.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.