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Finding the Fourth Proportional to 307,519.80, 461,263.29 and 82,876.63

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Solution

The fourth proportional to 307,519.80, 461,263.29 and 82,876.63 is: 124,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,519.80 : 461,263.29 = 82,876.63 : x
  2. Step 2: Convert to fraction form
    307,519.80/461,263.29 = 82,876.63/x
  3. Step 3: Cross multiply
    307,519.80x = 461,263.29 × 82,876.63
  4. Step 4: Simplify right side
    307,519.80x = 38,227,947,017.91
  5. Step 5: Solve for x
    x = 38,227,947,017.91/307,519.80
  6. Step 6: Final answer
    x = 124,310.52

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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.