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Finding the Fourth Proportional to 307,739.52, 461,604.49 and 157,893.33

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Solution

The fourth proportional to 307,739.52, 461,604.49 and 157,893.33 is: 236,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,739.52 : 461,604.49 = 157,893.33 : x
  2. Step 2: Convert to fraction form
    307,739.52/461,604.49 = 157,893.33/x
  3. Step 3: Cross multiply
    307,739.52x = 461,604.49 × 157,893.33
  4. Step 4: Simplify right side
    307,739.52x = 72,884,271,405.34
  5. Step 5: Solve for x
    x = 72,884,271,405.34/307,739.52
  6. Step 6: Final answer
    x = 236,837.54

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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.