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Finding the Fourth Proportional to 289,676.80, 434,515.20 and 252,812.80

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Solution

The fourth proportional to 289,676.80, 434,515.20 and 252,812.80 is: 379,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,676.80 : 434,515.20 = 252,812.80 : x
  2. Step 2: Convert to fraction form
    289,676.80/434,515.20 = 252,812.80/x
  3. Step 3: Cross multiply
    289,676.80x = 434,515.20 × 252,812.80
  4. Step 4: Simplify right side
    289,676.80x = 109,851,004,354.56
  5. Step 5: Solve for x
    x = 109,851,004,354.56/289,676.80
  6. Step 6: Final answer
    x = 379,219.20

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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.