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Finding the Fourth Proportional to 409,807.62, 614,711.43 and 110,288.85

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Solution

The fourth proportional to 409,807.62, 614,711.43 and 110,288.85 is: 165,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,807.62 : 614,711.43 = 110,288.85 : x
  2. Step 2: Convert to fraction form
    409,807.62/614,711.43 = 110,288.85/x
  3. Step 3: Cross multiply
    409,807.62x = 614,711.43 × 110,288.85
  4. Step 4: Simplify right side
    409,807.62x = 67,795,816,696.56
  5. Step 5: Solve for x
    x = 67,795,816,696.56/409,807.62
  6. Step 6: Final answer
    x = 165,433.28

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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.