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Finding the Fourth Proportional to 543,747.96, 815,622.48 and 206,709.48

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Solution

The fourth proportional to 543,747.96, 815,622.48 and 206,709.48 is: 310,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,747.96 : 815,622.48 = 206,709.48 : x
  2. Step 2: Convert to fraction form
    543,747.96/815,622.48 = 206,709.48/x
  3. Step 3: Cross multiply
    543,747.96x = 815,622.48 × 206,709.48
  4. Step 4: Simplify right side
    543,747.96x = 168,596,898,717.11
  5. Step 5: Solve for x
    x = 168,596,898,717.11/543,747.96
  6. Step 6: Final answer
    x = 310,064.43

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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.