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Finding the Fourth Proportional to 541,791.09, 812,740.10 and 186,758.37

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Solution

The fourth proportional to 541,791.09, 812,740.10 and 186,758.37 is: 280,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,791.09 : 812,740.10 = 186,758.37 : x
  2. Step 2: Convert to fraction form
    541,791.09/812,740.10 = 186,758.37/x
  3. Step 3: Cross multiply
    541,791.09x = 812,740.10 × 186,758.37
  4. Step 4: Simplify right side
    541,791.09x = 151,786,015,375.85
  5. Step 5: Solve for x
    x = 151,786,015,375.85/541,791.09
  6. Step 6: Final answer
    x = 280,155.98

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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.