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Finding the Fourth Proportional to 289,817.20, 434,523.30 and 171,427.60

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Solution

The fourth proportional to 289,817.20, 434,523.30 and 171,427.60 is: 257,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,817.20 : 434,523.30 = 171,427.60 : x
  2. Step 2: Convert to fraction form
    289,817.20/434,523.30 = 171,427.60/x
  3. Step 3: Cross multiply
    289,817.20x = 434,523.30 × 171,427.60
  4. Step 4: Simplify right side
    289,817.20x = 74,489,286,463.08
  5. Step 5: Solve for x
    x = 74,489,286,463.08/289,817.20
  6. Step 6: Final answer
    x = 257,021.62

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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.