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Finding the Fourth Proportional to 307,726.60, 461,201.10 and 149,614.60

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Solution

The fourth proportional to 307,726.60, 461,201.10 and 149,614.60 is: 224,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,726.60 : 461,201.10 = 149,614.60 : x
  2. Step 2: Convert to fraction form
    307,726.60/461,201.10 = 149,614.60/x
  3. Step 3: Cross multiply
    307,726.60x = 461,201.10 × 149,614.60
  4. Step 4: Simplify right side
    307,726.60x = 69,002,418,096.06
  5. Step 5: Solve for x
    x = 69,002,418,096.06/307,726.60
  6. Step 6: Final answer
    x = 224,232.87

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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.