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Finding the Fourth Proportional to 307,425.80, 461,138.70 and 283,806.20

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Solution

The fourth proportional to 307,425.80, 461,138.70 and 283,806.20 is: 425,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,425.80 : 461,138.70 = 283,806.20 : x
  2. Step 2: Convert to fraction form
    307,425.80/461,138.70 = 283,806.20/x
  3. Step 3: Cross multiply
    307,425.80x = 461,138.70 × 283,806.20
  4. Step 4: Simplify right side
    307,425.80x = 130,874,022,119.94
  5. Step 5: Solve for x
    x = 130,874,022,119.94/307,425.80
  6. Step 6: Final answer
    x = 425,709.30

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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.