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Finding the Fourth Proportional to 416,582.73, 624,903.21 and 206,164.17

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Solution

The fourth proportional to 416,582.73, 624,903.21 and 206,164.17 is: 309,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,582.73 : 624,903.21 = 206,164.17 : x
  2. Step 2: Convert to fraction form
    416,582.73/624,903.21 = 206,164.17/x
  3. Step 3: Cross multiply
    416,582.73x = 624,903.21 × 206,164.17
  4. Step 4: Simplify right side
    416,582.73x = 128,832,651,619.99
  5. Step 5: Solve for x
    x = 128,832,651,619.99/416,582.73
  6. Step 6: Final answer
    x = 309,260.66

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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.