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Finding the Fourth Proportional to 416,065.20, 624,097.80 and 206,113.20

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Solution

The fourth proportional to 416,065.20, 624,097.80 and 206,113.20 is: 309,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,065.20 : 624,097.80 = 206,113.20 : x
  2. Step 2: Convert to fraction form
    416,065.20/624,097.80 = 206,113.20/x
  3. Step 3: Cross multiply
    416,065.20x = 624,097.80 × 206,113.20
  4. Step 4: Simplify right side
    416,065.20x = 128,634,794,670.96
  5. Step 5: Solve for x
    x = 128,634,794,670.96/416,065.20
  6. Step 6: Final answer
    x = 309,169.80

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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.