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Finding the Fourth Proportional to 383,212.80, 574,819.20 and 383,212.80

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Solution

The fourth proportional to 383,212.80, 574,819.20 and 383,212.80 is: 574,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,212.80 : 574,819.20 = 383,212.80 : x
  2. Step 2: Convert to fraction form
    383,212.80/574,819.20 = 383,212.80/x
  3. Step 3: Cross multiply
    383,212.80x = 574,819.20 × 383,212.80
  4. Step 4: Simplify right side
    383,212.80x = 220,278,075,125.76
  5. Step 5: Solve for x
    x = 220,278,075,125.76/383,212.80
  6. Step 6: Final answer
    x = 574,819.20

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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.