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Finding the Fourth Proportional to 413,763.11, 620,643.74 and 110,157.35

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Solution

The fourth proportional to 413,763.11, 620,643.74 and 110,157.35 is: 165,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,763.11 : 620,643.74 = 110,157.35 : x
  2. Step 2: Convert to fraction form
    413,763.11/620,643.74 = 110,157.35/x
  3. Step 3: Cross multiply
    413,763.11x = 620,643.74 × 110,157.35
  4. Step 4: Simplify right side
    413,763.11x = 68,368,469,141.70
  5. Step 5: Solve for x
    x = 68,368,469,141.70/413,763.11
  6. Step 6: Final answer
    x = 165,235.78

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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.