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Finding the Fourth Proportional to 416,116.20, 624,174.30 and 206,164.20

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Solution

The fourth proportional to 416,116.20, 624,174.30 and 206,164.20 is: 309,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,116.20 : 624,174.30 = 206,164.20 : x
  2. Step 2: Convert to fraction form
    416,116.20/624,174.30 = 206,164.20/x
  3. Step 3: Cross multiply
    416,116.20x = 624,174.30 × 206,164.20
  4. Step 4: Simplify right side
    416,116.20x = 128,682,395,220.06
  5. Step 5: Solve for x
    x = 128,682,395,220.06/416,116.20
  6. Step 6: Final answer
    x = 309,246.30

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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.