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Finding the Fourth Proportional to 289,767.20, 434,845.20 and 171,312.80

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Solution

The fourth proportional to 289,767.20, 434,845.20 and 171,312.80 is: 257,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,767.20 : 434,845.20 = 171,312.80 : x
  2. Step 2: Convert to fraction form
    289,767.20/434,845.20 = 171,312.80/x
  3. Step 3: Cross multiply
    289,767.20x = 434,845.20 × 171,312.80
  4. Step 4: Simplify right side
    289,767.20x = 74,494,548,778.56
  5. Step 5: Solve for x
    x = 74,494,548,778.56/289,767.20
  6. Step 6: Final answer
    x = 257,084.13

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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.