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Finding the Fourth Proportional to 297,425.66, 446,141.38 and 75,809.66

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Solution

The fourth proportional to 297,425.66, 446,141.38 and 75,809.66 is: 113,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,425.66 : 446,141.38 = 75,809.66 : x
  2. Step 2: Convert to fraction form
    297,425.66/446,141.38 = 75,809.66/x
  3. Step 3: Cross multiply
    297,425.66x = 446,141.38 × 75,809.66
  4. Step 4: Simplify right side
    297,425.66x = 33,821,826,329.73
  5. Step 5: Solve for x
    x = 33,821,826,329.73/297,425.66
  6. Step 6: Final answer
    x = 113,715.23

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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.