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Finding the Fourth Proportional to 307,536.90, 461,305.35 and 188,823.30

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Solution

The fourth proportional to 307,536.90, 461,305.35 and 188,823.30 is: 283,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,536.90 : 461,305.35 = 188,823.30 : x
  2. Step 2: Convert to fraction form
    307,536.90/461,305.35 = 188,823.30/x
  3. Step 3: Cross multiply
    307,536.90x = 461,305.35 × 188,823.30
  4. Step 4: Simplify right side
    307,536.90x = 87,105,198,494.66
  5. Step 5: Solve for x
    x = 87,105,198,494.66/307,536.90
  6. Step 6: Final answer
    x = 283,234.95

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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.