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Finding the Fourth Proportional to 329,199.50, 454,295.32 and 178,296.50

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Solution

The fourth proportional to 329,199.50, 454,295.32 and 178,296.50 is: 246,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,199.50 : 454,295.32 = 178,296.50 : x
  2. Step 2: Convert to fraction form
    329,199.50/454,295.32 = 178,296.50/x
  3. Step 3: Cross multiply
    329,199.50x = 454,295.32 × 178,296.50
  4. Step 4: Simplify right side
    329,199.50x = 80,999,265,522.38
  5. Step 5: Solve for x
    x = 80,999,265,522.38/329,199.50
  6. Step 6: Final answer
    x = 246,049.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.