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Finding the Fourth Proportional to 307,502.61, 461,387.13 and 165,181.83

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Solution

The fourth proportional to 307,502.61, 461,387.13 and 165,181.83 is: 247,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,502.61 : 461,387.13 = 165,181.83 : x
  2. Step 2: Convert to fraction form
    307,502.61/461,387.13 = 165,181.83/x
  3. Step 3: Cross multiply
    307,502.61x = 461,387.13 × 165,181.83
  4. Step 4: Simplify right side
    307,502.61x = 76,212,770,471.85
  5. Step 5: Solve for x
    x = 76,212,770,471.85/307,502.61
  6. Step 6: Final answer
    x = 247,844.30

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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.