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Finding the Fourth Proportional to 392,817.60, 588,351.60 and 340,329.60

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Solution

The fourth proportional to 392,817.60, 588,351.60 and 340,329.60 is: 509,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,817.60 : 588,351.60 = 340,329.60 : x
  2. Step 2: Convert to fraction form
    392,817.60/588,351.60 = 340,329.60/x
  3. Step 3: Cross multiply
    392,817.60x = 588,351.60 × 340,329.60
  4. Step 4: Simplify right side
    392,817.60x = 200,233,464,687.36
  5. Step 5: Solve for x
    x = 200,233,464,687.36/392,817.60
  6. Step 6: Final answer
    x = 509,736.49

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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.