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Finding the Fourth Proportional to 329,829.60, 494,744.40 and 119,474.40

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Solution

The fourth proportional to 329,829.60, 494,744.40 and 119,474.40 is: 179,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,829.60 : 494,744.40 = 119,474.40 : x
  2. Step 2: Convert to fraction form
    329,829.60/494,744.40 = 119,474.40/x
  3. Step 3: Cross multiply
    329,829.60x = 494,744.40 × 119,474.40
  4. Step 4: Simplify right side
    329,829.60x = 59,109,290,343.36
  5. Step 5: Solve for x
    x = 59,109,290,343.36/329,829.60
  6. Step 6: Final answer
    x = 179,211.60

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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.