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Finding the Fourth Proportional to 307,740.52, 461,610.78 and 167,772.52

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Solution

The fourth proportional to 307,740.52, 461,610.78 and 167,772.52 is: 251,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,740.52 : 461,610.78 = 167,772.52 : x
  2. Step 2: Convert to fraction form
    307,740.52/461,610.78 = 167,772.52/x
  3. Step 3: Cross multiply
    307,740.52x = 461,610.78 × 167,772.52
  4. Step 4: Simplify right side
    307,740.52x = 77,445,603,819.77
  5. Step 5: Solve for x
    x = 77,445,603,819.77/307,740.52
  6. Step 6: Final answer
    x = 251,658.78

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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.