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Finding the Fourth Proportional to 491,047.02, 736,601.67 and 154,100.97

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Solution

The fourth proportional to 491,047.02, 736,601.67 and 154,100.97 is: 231,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,047.02 : 736,601.67 = 154,100.97 : x
  2. Step 2: Convert to fraction form
    491,047.02/736,601.67 = 154,100.97/x
  3. Step 3: Cross multiply
    491,047.02x = 736,601.67 × 154,100.97
  4. Step 4: Simplify right side
    491,047.02x = 113,511,031,850.62
  5. Step 5: Solve for x
    x = 113,511,031,850.62/491,047.02
  6. Step 6: Final answer
    x = 231,161.23

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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.