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Finding the Fourth Proportional to 441,015.80, 661,523.70 and 307,614.20

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Solution

The fourth proportional to 441,015.80, 661,523.70 and 307,614.20 is: 461,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,015.80 : 661,523.70 = 307,614.20 : x
  2. Step 2: Convert to fraction form
    441,015.80/661,523.70 = 307,614.20/x
  3. Step 3: Cross multiply
    441,015.80x = 661,523.70 × 307,614.20
  4. Step 4: Simplify right side
    441,015.80x = 203,494,083,756.54
  5. Step 5: Solve for x
    x = 203,494,083,756.54/441,015.80
  6. Step 6: Final answer
    x = 461,421.30

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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.