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Finding the Fourth Proportional to 395,092.38, 545,223.32 and 213,800.34

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Solution

The fourth proportional to 395,092.38, 545,223.32 and 213,800.34 is: 295,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,092.38 : 545,223.32 = 213,800.34 : x
  2. Step 2: Convert to fraction form
    395,092.38/545,223.32 = 213,800.34/x
  3. Step 3: Cross multiply
    395,092.38x = 545,223.32 × 213,800.34
  4. Step 4: Simplify right side
    395,092.38x = 116,568,931,191.93
  5. Step 5: Solve for x
    x = 116,568,931,191.93/395,092.38
  6. Step 6: Final answer
    x = 295,042.22

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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.