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Finding the Fourth Proportional to 375,174.50, 517,790.22 and 213,992.60

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Solution

The fourth proportional to 375,174.50, 517,790.22 and 213,992.60 is: 295,337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,174.50 : 517,790.22 = 213,992.60 : x
  2. Step 2: Convert to fraction form
    375,174.50/517,790.22 = 213,992.60/x
  3. Step 3: Cross multiply
    375,174.50x = 517,790.22 × 213,992.60
  4. Step 4: Simplify right side
    375,174.50x = 110,803,275,432.37
  5. Step 5: Solve for x
    x = 110,803,275,432.37/375,174.50
  6. Step 6: Final answer
    x = 295,337.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.