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Finding the Fourth Proportional to 294,517.80, 441,958.95 and 117,006.30

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Solution

The fourth proportional to 294,517.80, 441,958.95 and 117,006.30 is: 175,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,517.80 : 441,958.95 = 117,006.30 : x
  2. Step 2: Convert to fraction form
    294,517.80/441,958.95 = 117,006.30/x
  3. Step 3: Cross multiply
    294,517.80x = 441,958.95 × 117,006.30
  4. Step 4: Simplify right side
    294,517.80x = 51,711,981,491.39
  5. Step 5: Solve for x
    x = 51,711,981,491.39/294,517.80
  6. Step 6: Final answer
    x = 175,581.85

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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.