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Finding the Fourth Proportional to 413,759.76, 620,638.52 and 110,153.92

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Solution

The fourth proportional to 413,759.76, 620,638.52 and 110,153.92 is: 165,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,759.76 : 620,638.52 = 110,153.92 : x
  2. Step 2: Convert to fraction form
    413,759.76/620,638.52 = 110,153.92/x
  3. Step 3: Cross multiply
    413,759.76x = 620,638.52 × 110,153.92
  4. Step 4: Simplify right side
    413,759.76x = 68,365,765,881.00
  5. Step 5: Solve for x
    x = 68,365,765,881.00/413,759.76
  6. Step 6: Final answer
    x = 165,230.58

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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.