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Finding the Fourth Proportional to 512,698.40, 769,825.20 and 394,503.20

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Solution

The fourth proportional to 512,698.40, 769,825.20 and 394,503.20 is: 592,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,698.40 : 769,825.20 = 394,503.20 : x
  2. Step 2: Convert to fraction form
    512,698.40/769,825.20 = 394,503.20/x
  3. Step 3: Cross multiply
    512,698.40x = 769,825.20 × 394,503.20
  4. Step 4: Simplify right side
    512,698.40x = 303,698,504,840.64
  5. Step 5: Solve for x
    x = 303,698,504,840.64/512,698.40
  6. Step 6: Final answer
    x = 592,353.14

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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.