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Finding the Fourth Proportional to 338,542.70, 507,847.55 and 125,367.48

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Solution

The fourth proportional to 338,542.70, 507,847.55 and 125,367.48 is: 188,063.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,542.70 : 507,847.55 = 125,367.48 : x
  2. Step 2: Convert to fraction form
    338,542.70/507,847.55 = 125,367.48/x
  3. Step 3: Cross multiply
    338,542.70x = 507,847.55 × 125,367.48
  4. Step 4: Simplify right side
    338,542.70x = 63,667,567,567.67
  5. Step 5: Solve for x
    x = 63,667,567,567.67/338,542.70
  6. Step 6: Final answer
    x = 188,063.63

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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.