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Finding the Fourth Proportional to 289,743.20, 434,809.20 and 171,288.80

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Solution

The fourth proportional to 289,743.20, 434,809.20 and 171,288.80 is: 257,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,743.20 : 434,809.20 = 171,288.80 : x
  2. Step 2: Convert to fraction form
    289,743.20/434,809.20 = 171,288.80/x
  3. Step 3: Cross multiply
    289,743.20x = 434,809.20 × 171,288.80
  4. Step 4: Simplify right side
    289,743.20x = 74,477,946,096.96
  5. Step 5: Solve for x
    x = 74,477,946,096.96/289,743.20
  6. Step 6: Final answer
    x = 257,048.12

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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.