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Finding the Fourth Proportional to 393,294.60, 589,067.10 and 323,310.60

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Solution

The fourth proportional to 393,294.60, 589,067.10 and 323,310.60 is: 484,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,294.60 : 589,067.10 = 323,310.60 : x
  2. Step 2: Convert to fraction form
    393,294.60/589,067.10 = 323,310.60/x
  3. Step 3: Cross multiply
    393,294.60x = 589,067.10 × 323,310.60
  4. Step 4: Simplify right side
    393,294.60x = 190,451,637,541.26
  5. Step 5: Solve for x
    x = 190,451,637,541.26/393,294.60
  6. Step 6: Final answer
    x = 484,246.76

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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.