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Finding the Fourth Proportional to 416,512.80, 624,763.68 and 100,972.48

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Solution

The fourth proportional to 416,512.80, 624,763.68 and 100,972.48 is: 151,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,512.80 : 624,763.68 = 100,972.48 : x
  2. Step 2: Convert to fraction form
    416,512.80/624,763.68 = 100,972.48/x
  3. Step 3: Cross multiply
    416,512.80x = 624,763.68 × 100,972.48
  4. Step 4: Simplify right side
    416,512.80x = 63,083,938,183.53
  5. Step 5: Solve for x
    x = 63,083,938,183.53/416,512.80
  6. Step 6: Final answer
    x = 151,457.38

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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.