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Finding the Fourth Proportional to 329,104, 454,166.76 and 178,204.24

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Solution

The fourth proportional to 329,104, 454,166.76 and 178,204.24 is: 245,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,104 : 454,166.76 = 178,204.24 : x
  2. Step 2: Convert to fraction form
    329,104/454,166.76 = 178,204.24/x
  3. Step 3: Cross multiply
    329,104x = 454,166.76 × 178,204.24
  4. Step 4: Simplify right side
    329,104x = 80,934,442,299.06
  5. Step 5: Solve for x
    x = 80,934,442,299.06/329,104
  6. Step 6: Final answer
    x = 245,923.61

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1.5x scale

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.