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Finding the Fourth Proportional to 307,739.52, 461,609.28 and 167,771.52

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Solution

The fourth proportional to 307,739.52, 461,609.28 and 167,771.52 is: 251,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,739.52 : 461,609.28 = 167,771.52 : x
  2. Step 2: Convert to fraction form
    307,739.52/461,609.28 = 167,771.52/x
  3. Step 3: Cross multiply
    307,739.52x = 461,609.28 × 167,771.52
  4. Step 4: Simplify right side
    307,739.52x = 77,444,890,551.71
  5. Step 5: Solve for x
    x = 77,444,890,551.71/307,739.52
  6. Step 6: Final answer
    x = 251,657.28

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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.