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Finding the Fourth Proportional to 416,497.70, 624,744.48 and 100,954.61

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Solution

The fourth proportional to 416,497.70, 624,744.48 and 100,954.61 is: 151,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,497.70 : 624,744.48 = 100,954.61 : x
  2. Step 2: Convert to fraction form
    416,497.70/624,744.48 = 100,954.61/x
  3. Step 3: Cross multiply
    416,497.70x = 624,744.48 × 100,954.61
  4. Step 4: Simplify right side
    416,497.70x = 63,070,832,204.33
  5. Step 5: Solve for x
    x = 63,070,832,204.33/416,497.70
  6. Step 6: Final answer
    x = 151,431.41

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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.