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Finding the Fourth Proportional to 413,759.75, 620,638.52 and 110,153.91

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Solution

The fourth proportional to 413,759.75, 620,638.52 and 110,153.91 is: 165,230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,759.75 : 620,638.52 = 110,153.91 : x
  2. Step 2: Convert to fraction form
    413,759.75/620,638.52 = 110,153.91/x
  3. Step 3: Cross multiply
    413,759.75x = 620,638.52 × 110,153.91
  4. Step 4: Simplify right side
    413,759.75x = 68,365,759,674.61
  5. Step 5: Solve for x
    x = 68,365,759,674.61/413,759.75
  6. Step 6: Final answer
    x = 165,230.57

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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.