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Finding the Fourth Proportional to 411,941.64, 617,923.26 and 131,458.62

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Solution

The fourth proportional to 411,941.64, 617,923.26 and 131,458.62 is: 197,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,941.64 : 617,923.26 = 131,458.62 : x
  2. Step 2: Convert to fraction form
    411,941.64/617,923.26 = 131,458.62/x
  3. Step 3: Cross multiply
    411,941.64x = 617,923.26 × 131,458.62
  4. Step 4: Simplify right side
    411,941.64x = 81,231,339,025.50
  5. Step 5: Solve for x
    x = 81,231,339,025.50/411,941.64
  6. Step 6: Final answer
    x = 197,191.38

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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.