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Finding the Fourth Proportional to 416,632.06, 624,977.46 and 206,213.50

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Solution

The fourth proportional to 416,632.06, 624,977.46 and 206,213.50 is: 309,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,632.06 : 624,977.46 = 206,213.50 : x
  2. Step 2: Convert to fraction form
    416,632.06/624,977.46 = 206,213.50/x
  3. Step 3: Cross multiply
    416,632.06x = 624,977.46 × 206,213.50
  4. Step 4: Simplify right side
    416,632.06x = 128,878,788,416.64
  5. Step 5: Solve for x
    x = 128,878,788,416.64/416,632.06
  6. Step 6: Final answer
    x = 309,334.78

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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.