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Finding the Fourth Proportional to 491,940.19, 737,745.24 and 188,263.54

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Solution

The fourth proportional to 491,940.19, 737,745.24 and 188,263.54 is: 282,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,940.19 : 737,745.24 = 188,263.54 : x
  2. Step 2: Convert to fraction form
    491,940.19/737,745.24 = 188,263.54/x
  3. Step 3: Cross multiply
    491,940.19x = 737,745.24 × 188,263.54
  4. Step 4: Simplify right side
    491,940.19x = 138,890,528,669.27
  5. Step 5: Solve for x
    x = 138,890,528,669.27/491,940.19
  6. Step 6: Final answer
    x = 282,332.14

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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.