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Finding the Fourth Proportional to 411,833.76, 617,796.72 and 131,285.92

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Solution

The fourth proportional to 411,833.76, 617,796.72 and 131,285.92 is: 196,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,833.76 : 617,796.72 = 131,285.92 : x
  2. Step 2: Convert to fraction form
    411,833.76/617,796.72 = 131,285.92/x
  3. Step 3: Cross multiply
    411,833.76x = 617,796.72 × 131,285.92
  4. Step 4: Simplify right side
    411,833.76x = 81,108,010,758.18
  5. Step 5: Solve for x
    x = 81,108,010,758.18/411,833.76
  6. Step 6: Final answer
    x = 196,943.57

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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.