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Finding the Fourth Proportional to 307,651.04, 461,870.16 and 261,199.04

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Solution

The fourth proportional to 307,651.04, 461,870.16 and 261,199.04 is: 392,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,651.04 : 461,870.16 = 261,199.04 : x
  2. Step 2: Convert to fraction form
    307,651.04/461,870.16 = 261,199.04/x
  3. Step 3: Cross multiply
    307,651.04x = 461,870.16 × 261,199.04
  4. Step 4: Simplify right side
    307,651.04x = 120,640,042,396.65
  5. Step 5: Solve for x
    x = 120,640,042,396.65/307,651.04
  6. Step 6: Final answer
    x = 392,132.73

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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.