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Finding the Fourth Proportional to 289,620.20, 434,819.10 and 184,644.20

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Solution

The fourth proportional to 289,620.20, 434,819.10 and 184,644.20 is: 277,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,620.20 : 434,819.10 = 184,644.20 : x
  2. Step 2: Convert to fraction form
    289,620.20/434,819.10 = 184,644.20/x
  3. Step 3: Cross multiply
    289,620.20x = 434,819.10 × 184,644.20
  4. Step 4: Simplify right side
    289,620.20x = 80,286,824,864.22
  5. Step 5: Solve for x
    x = 80,286,824,864.22/289,620.20
  6. Step 6: Final answer
    x = 277,214.18

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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.