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Finding the Fourth Proportional to 329,843.34, 494,763.78 and 119,432.06

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Solution

The fourth proportional to 329,843.34, 494,763.78 and 119,432.06 is: 179,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,843.34 : 494,763.78 = 119,432.06 : x
  2. Step 2: Convert to fraction form
    329,843.34/494,763.78 = 119,432.06/x
  3. Step 3: Cross multiply
    329,843.34x = 494,763.78 × 119,432.06
  4. Step 4: Simplify right side
    329,843.34x = 59,090,657,458.79
  5. Step 5: Solve for x
    x = 59,090,657,458.79/329,843.34
  6. Step 6: Final answer
    x = 179,147.64

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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.