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Finding the Fourth Proportional to 416,166.40, 624,249.60 and 239,219.20

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Solution

The fourth proportional to 416,166.40, 624,249.60 and 239,219.20 is: 358,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,166.40 : 624,249.60 = 239,219.20 : x
  2. Step 2: Convert to fraction form
    416,166.40/624,249.60 = 239,219.20/x
  3. Step 3: Cross multiply
    416,166.40x = 624,249.60 × 239,219.20
  4. Step 4: Simplify right side
    416,166.40x = 149,332,489,912.32
  5. Step 5: Solve for x
    x = 149,332,489,912.32/416,166.40
  6. Step 6: Final answer
    x = 358,828.80

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1.5x scale

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.