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Finding the Fourth Proportional to 289,450.80, 434,176.20 and 194,972.40

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Solution

The fourth proportional to 289,450.80, 434,176.20 and 194,972.40 is: 292,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,450.80 : 434,176.20 = 194,972.40 : x
  2. Step 2: Convert to fraction form
    289,450.80/434,176.20 = 194,972.40/x
  3. Step 3: Cross multiply
    289,450.80x = 434,176.20 × 194,972.40
  4. Step 4: Simplify right side
    289,450.80x = 84,652,375,736.88
  5. Step 5: Solve for x
    x = 84,652,375,736.88/289,450.80
  6. Step 6: Final answer
    x = 292,458.60

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1.5x scale

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.