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Finding the Fourth Proportional to 403,849.25, 605,772.25 and 151,148.69

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Solution

The fourth proportional to 403,849.25, 605,772.25 and 151,148.69 is: 226,722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,849.25 : 605,772.25 = 151,148.69 : x
  2. Step 2: Convert to fraction form
    403,849.25/605,772.25 = 151,148.69/x
  3. Step 3: Cross multiply
    403,849.25x = 605,772.25 × 151,148.69
  4. Step 4: Simplify right side
    403,849.25x = 91,561,682,025.85
  5. Step 5: Solve for x
    x = 91,561,682,025.85/403,849.25
  6. Step 6: Final answer
    x = 226,722.43

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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.