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Finding the Fourth Proportional to 312,197.97, 430,845.54 and 176,236.77

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Solution

The fourth proportional to 312,197.97, 430,845.54 and 176,236.77 is: 243,213.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,197.97 : 430,845.54 = 176,236.77 : x
  2. Step 2: Convert to fraction form
    312,197.97/430,845.54 = 176,236.77/x
  3. Step 3: Cross multiply
    312,197.97x = 430,845.54 × 176,236.77
  4. Step 4: Simplify right side
    312,197.97x = 75,930,826,338.51
  5. Step 5: Solve for x
    x = 75,930,826,338.51/312,197.97
  6. Step 6: Final answer
    x = 243,213.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.