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Finding the Fourth Proportional to 312,201.54, 430,857.43 and 176,185.73

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Solution

The fourth proportional to 312,201.54, 430,857.43 and 176,185.73 is: 243,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,201.54 : 430,857.43 = 176,185.73 : x
  2. Step 2: Convert to fraction form
    312,201.54/430,857.43 = 176,185.73/x
  3. Step 3: Cross multiply
    312,201.54x = 430,857.43 × 176,185.73
  4. Step 4: Simplify right side
    312,201.54x = 75,910,931,467.15
  5. Step 5: Solve for x
    x = 75,910,931,467.15/312,201.54
  6. Step 6: Final answer
    x = 243,147.20

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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.