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Finding the Fourth Proportional to 329,065.87, 493,496.73 and 118,676.47

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Solution

The fourth proportional to 329,065.87, 493,496.73 and 118,676.47 is: 177,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,065.87 : 493,496.73 = 118,676.47 : x
  2. Step 2: Convert to fraction form
    329,065.87/493,496.73 = 118,676.47/x
  3. Step 3: Cross multiply
    329,065.87x = 493,496.73 × 118,676.47
  4. Step 4: Simplify right side
    329,065.87x = 58,566,449,872.94
  5. Step 5: Solve for x
    x = 58,566,449,872.94/329,065.87
  6. Step 6: Final answer
    x = 177,977.89

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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.