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Finding the Fourth Proportional to 395,763.24, 546,163.80 and 225,993.72

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Solution

The fourth proportional to 395,763.24, 546,163.80 and 225,993.72 is: 311,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,763.24 : 546,163.80 = 225,993.72 : x
  2. Step 2: Convert to fraction form
    395,763.24/546,163.80 = 225,993.72/x
  3. Step 3: Cross multiply
    395,763.24x = 546,163.80 × 225,993.72
  4. Step 4: Simplify right side
    395,763.24x = 123,429,588,891.34
  5. Step 5: Solve for x
    x = 123,429,588,891.34/395,763.24
  6. Step 6: Final answer
    x = 311,877.35

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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.