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Finding the Fourth Proportional to 413,763.61, 620,644.48 and 110,157.85

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Solution

The fourth proportional to 413,763.61, 620,644.48 and 110,157.85 is: 165,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,763.61 : 620,644.48 = 110,157.85 : x
  2. Step 2: Convert to fraction form
    413,763.61/620,644.48 = 110,157.85/x
  3. Step 3: Cross multiply
    413,763.61x = 620,644.48 × 110,157.85
  4. Step 4: Simplify right side
    413,763.61x = 68,368,861,531.17
  5. Step 5: Solve for x
    x = 68,368,861,531.17/413,763.61
  6. Step 6: Final answer
    x = 165,236.53

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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.