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Finding the Fourth Proportional to 416,477.70, 624,716.54 and 100,934.60

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Solution

The fourth proportional to 416,477.70, 624,716.54 and 100,934.60 is: 151,401.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,477.70 : 624,716.54 = 100,934.60 : x
  2. Step 2: Convert to fraction form
    416,477.70/624,716.54 = 100,934.60/x
  3. Step 3: Cross multiply
    416,477.70x = 624,716.54 × 100,934.60
  4. Step 4: Simplify right side
    416,477.70x = 63,055,515,640.08
  5. Step 5: Solve for x
    x = 63,055,515,640.08/416,477.70
  6. Step 6: Final answer
    x = 151,401.90

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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.