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Finding the Fourth Proportional to 769,573.20, 1,153,353.15 and 413,821.20

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Solution

The fourth proportional to 769,573.20, 1,153,353.15 and 413,821.20 is: 620,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,573.20 : 1,153,353.15 = 413,821.20 : x
  2. Step 2: Convert to fraction form
    769,573.20/1,153,353.15 = 413,821.20/x
  3. Step 3: Cross multiply
    769,573.20x = 1,153,353.15 × 413,821.20
  4. Step 4: Simplify right side
    769,573.20x = 477,281,984,556.78
  5. Step 5: Solve for x
    x = 477,281,984,556.78/769,573.20
  6. Step 6: Final answer
    x = 620,190.50

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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.