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Finding the Fourth Proportional to 237,256.96, 327,782.32 and 198,948.96

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Solution

The fourth proportional to 237,256.96, 327,782.32 and 198,948.96 is: 274,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,256.96 : 327,782.32 = 198,948.96 : x
  2. Step 2: Convert to fraction form
    237,256.96/327,782.32 = 198,948.96/x
  3. Step 3: Cross multiply
    237,256.96x = 327,782.32 × 198,948.96
  4. Step 4: Simplify right side
    237,256.96x = 65,211,951,670.39
  5. Step 5: Solve for x
    x = 65,211,951,670.39/237,256.96
  6. Step 6: Final answer
    x = 274,857.91

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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.