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Finding the Fourth Proportional to 491,504.16, 737,354.61 and 154,629.54

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Solution

The fourth proportional to 491,504.16, 737,354.61 and 154,629.54 is: 231,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,504.16 : 737,354.61 = 154,629.54 : x
  2. Step 2: Convert to fraction form
    491,504.16/737,354.61 = 154,629.54/x
  3. Step 3: Cross multiply
    491,504.16x = 737,354.61 × 154,629.54
  4. Step 4: Simplify right side
    491,504.16x = 114,016,804,161.18
  5. Step 5: Solve for x
    x = 114,016,804,161.18/491,504.16
  6. Step 6: Final answer
    x = 231,975.26

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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.