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Finding the Fourth Proportional to 228,494.52, 342,348.12 and 177,911.64

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Solution

The fourth proportional to 228,494.52, 342,348.12 and 177,911.64 is: 266,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,494.52 : 342,348.12 = 177,911.64 : x
  2. Step 2: Convert to fraction form
    228,494.52/342,348.12 = 177,911.64/x
  3. Step 3: Cross multiply
    228,494.52x = 342,348.12 × 177,911.64
  4. Step 4: Simplify right side
    228,494.52x = 60,907,715,480.12
  5. Step 5: Solve for x
    x = 60,907,715,480.12/228,494.52
  6. Step 6: Final answer
    x = 266,560.95

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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.