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Finding the Fourth Proportional to 329,815.64, 494,744.26 and 93,176.58

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Solution

The fourth proportional to 329,815.64, 494,744.26 and 93,176.58 is: 139,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,815.64 : 494,744.26 = 93,176.58 : x
  2. Step 2: Convert to fraction form
    329,815.64/494,744.26 = 93,176.58/x
  3. Step 3: Cross multiply
    329,815.64x = 494,744.26 × 93,176.58
  4. Step 4: Simplify right side
    329,815.64x = 46,098,578,121.43
  5. Step 5: Solve for x
    x = 46,098,578,121.43/329,815.64
  6. Step 6: Final answer
    x = 139,770.75

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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.