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Finding the Fourth Proportional to 411,400.56, 617,234.76 and 186,734.64

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Solution

The fourth proportional to 411,400.56, 617,234.76 and 186,734.64 is: 280,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,400.56 : 617,234.76 = 186,734.64 : x
  2. Step 2: Convert to fraction form
    411,400.56/617,234.76 = 186,734.64/x
  3. Step 3: Cross multiply
    411,400.56x = 617,234.76 × 186,734.64
  4. Step 4: Simplify right side
    411,400.56x = 115,259,110,704.09
  5. Step 5: Solve for x
    x = 115,259,110,704.09/411,400.56
  6. Step 6: Final answer
    x = 280,162.75

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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.