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Finding the Fourth Proportional to 433,093.80, 649,640.38 and 117,597

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Solution

The fourth proportional to 433,093.80, 649,640.38 and 117,597 is: 176,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,093.80 : 649,640.38 = 117,597 : x
  2. Step 2: Convert to fraction form
    433,093.80/649,640.38 = 117,597/x
  3. Step 3: Cross multiply
    433,093.80x = 649,640.38 × 117,597
  4. Step 4: Simplify right side
    433,093.80x = 76,395,759,766.86
  5. Step 5: Solve for x
    x = 76,395,759,766.86/433,093.80
  6. Step 6: Final answer
    x = 176,395.41

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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.