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Finding the Fourth Proportional to 411,208.20, 617,849.10 and 261,520.20

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Solution

The fourth proportional to 411,208.20, 617,849.10 and 261,520.20 is: 392,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,208.20 : 617,849.10 = 261,520.20 : x
  2. Step 2: Convert to fraction form
    411,208.20/617,849.10 = 261,520.20/x
  3. Step 3: Cross multiply
    411,208.20x = 617,849.10 × 261,520.20
  4. Step 4: Simplify right side
    411,208.20x = 161,580,020,201.82
  5. Step 5: Solve for x
    x = 161,580,020,201.82/411,208.20
  6. Step 6: Final answer
    x = 392,939.68

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1.5x scale

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.